For the graph y = f(x) = 3x² – x 2 (i) (ii) Q3 % Find the average rate of change of y wrt x over the interval 1, 2 The instantaneous rate of change of y wrt x at the point x = 0Question 4 Graph f(x) = 3x3 over a,x) = 2, x find the area function A(x) Confirm that A'(x) = f(x) 1 Then use simple formulas from geometry to 5 6 Approximate the area under the graph of fox) over the interval 12 using 5 rectanglesSelect a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with − 1 1 in the expression f ( − 1) = ( − 1) 2 − 4 f ( 1) = ( 1) 2 4 Simplify the result
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F(x)=x^2+3x+4 graph-Example 1 Your turn Graph the equation y 3x2 SOLUTION 1) Construct a table of values y = 3x2 (x, y) 2 4 6 2 4 6 2) Plot and connect the points The points should form a line Confirm the graph using technology Graphing Calculator DesmosSo f'(x)=0 when x=3/2 Therefore f'(x) will be >=0 when x>=3/2 QED
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Y = (x^23x)/(4x4) y = ((0)^23(0))/(4(0)4) y = 0/4 y=0 So we have a yintercept at y=0!How to graph a linear function using the slope and yintercept Graphing lines Playlist https//wwwyoutubecom/playlist?list=PLmN1jmOiJEf5_rt_cqHvF5th_0BpqFinding the minimum value is as follows Notes The graph of a quadratic function is called a parabola
Now that we have everything we can graph the equation!In this math video lesson I review how to graph the exponential equation y=2^x by making a table The table helps when graphing these types of equations #eGraph the function f(x)=3x^23x2 using properties of parabola check_circle Expert Answer star star star star star 1 Rating Want to see the stepbystep answer?
SOLUTION f (x)= 3x2 You can put this solution on YOUR website!Apps 9 Gmail BIG IDEAS MATH ihogue005 #3 i Let f (x) = x and g(x) = 3x 4 List the possible transformations (in order) of the graph of f represented by the function g A reflection in the x axis B reflection in the y axis C vertical translation 4 units down D horizontal translation 4 units right E horizontal shrink by a factor of F vertical stretch by a factor of 3 B I T1) If f '(x) > 0 on an interval I, then the graph of f(x) rises as x increases 2) If f '(x) 0 on an interval I, then the graph of f(x) falls as x increases 3) If f '(c) = 0, then the graph of f(x) has a horizontal tangent at x = c The function may have a local maximum or minimum value, or a point of inflection
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`f(x) = x^3 2, 3x y 4 = 0` Find an equation of the line that is tangent to the graph of f and parallel to the given line 2 Educator answers eNotescom will help you with any book or any Step 1 Use a graphing calculator to graph \(\displaystyle{f{{\left({x}\right)}}}={x}^{{{3}}}{3}{x}^{{{2}}}{4}{x}{2}\) The xintercept are \(\displaystyle{\left({3Be sure to have your line go through the vertical and horizontal intercepts!
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Solution The Polynomial Function F Is Defined By F X X 4 3x 3 2x 2 4x 5 Use A Graphing Calculator To Find All The Points X F X Where There Is A Local Maximum Round To The Nearest
The graph of f(x) is shifted four units down from the graph of g(x) The graph of f(x) is shifted four units up from the graph of g(x) The graph of f(x) is shifted four units to the left of the graph of g(x)Since we're dealing with the absolute value of , this means that all of the y values are positive So this means that we only graph the upper portion of the "x" like thisUse the distributive property to multiply 3x^{3}12x^{2} by x2 and combine like terms
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X = − 2 By Factor theorem, xk is a factor of the polynomial for each root k Divide 2x^ {4}3x^ {3}3x2 by x2 to get 2x^ {3}x^ {2}2x1 To factor the result, solve the equation where it equals to 0 By Factor theorem, x − k is a factor of the polynomial for each root kSee the answer See the answer See the answer done loadingLet us see the graph visualization step by step First mathh(x)=\dfrac{1}{3}x^2/math Which shows it's inverted parabola Then mathh(x)=\dfrac{1}{3}x^22x/math
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If x is "close to" 2Graph f (x)=4/3x2 f (x) = 4 3 x − 2 f ( x) = 4 3 x 2 Rewrite the function as an equation y = 4x 3 −2 y = 4 x 3 2 Rewrite in slopeintercept form Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x 👍 Correct answer to the question F(x) = 3x 4 2 g(x)=4 Find (f g)(x) eeduanswerscom
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Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystep To find the yintercepts, set x equal to zero and solve the equation!Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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Sketch the graph and show the rectangles 78 Approximate the area, to 4 decimal places, under;The vertex is where or ;To get the x intercepts you need to factorise the equation and there is no simple way to do that for a cubic other than substituting values of x to find when f (x) = 0 So putting x = 1 gives f (x) = 1³ 3 (1)² 4 = 2 no good Putting x=2 gives f (x) = 2³ 3 (2)² 4 = 0 so the graph meets the x axis at x = 2
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Determine whether the given quadratic function has a maximum value or a minimum value,and then find the valuePlease Subscribe here, thank you!!!Moreover, our interest will be around x=2 4) Techniques of calculus will give us concavity, max, min, inflection f'(x)=4x^36x^26x5=0 gives criticals of x > x > x > If you test outside the intervals you will note changes in direction of the slope this is indicative of extrema Thus x= is local minimum x
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Show transcribed image text Expert Answer 100% (2 ratings) Previous question Next question Transcribed Image Text from this QuestionHow does the graph of f(x) = 2^3x 4 differ from the graph of g(x) = 2^3x?1)Graph f(x)=(x^2 4)/(x 2) using a graphing calculator Using a standard window with the trace feature, trace the graph to x=2 What happens?
Two Graphs F X And H X Are Shown Above If F X 3x 4 And F X And H X Are Perpendicular Which Of The Following Could Be The Equation Of H X A H X Dfrac 1 3 X 9 B H X Dfrac 1 3 X 9 C H X 3x 9 D
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Graph f (x)=3x4 f (x) = 3x − 4 f ( x) = 3 x 4 Rewrite the function as an equation y = 3x− 4 y = 3 x 4 Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is y = m x b y = m x b, where m m is the slope and b b is the yintercept y = m x b y = m x bSolution for f(x) = (x 4)² – 3 f(2) Graph f(x) if xAnswer to Match the function with its graph f(x) = 3x/2 у y 5 This problem has been solved!
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Steps Using the Quadratic Formula View solution steps Solution Steps F ( x ) = 3 x ^ { 2 } 7 x 4 F ( x) = 3 x 2 7 x 4 Factor the expression by grouping First, the expression needs to be rewritten as 3x^ {2}axbx4 To find a and b, set up a system toSelect a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with 1 1 in the expression f ( 1) = ( 1) 2 − 3 ⋅ 1 − 4 f ( 1) = ( 1) 2 3 ⋅ 1 4 Simplify the resultGraph f(x)=x^43x^24 Find the point at Tap for more steps Replace the variable with in the expression Simplify the result Tap for more steps Simplify each term Tap for more steps Raise to the power of Raise to the power of Multiply by Simplify by subtracting numbers
If F X X 2 3x 4 Then Find The Values Of X Satisfying The Equation F X F 2x 1
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Draw the graph of f(x) = x2 3x 4 Hence, discuss the sign of x2 – 3x 4From we get the xintercepts at ;The simplest Quadratic Equation is f (x) = x 2 And its graph is simple too This is the curve f (x) = x2 It is a parabola Now let us see what happens when we introduce the "a" value f (x) = ax2 Larger values of a squash the curve inwards Smaller values of a expand it outwards
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To find the yintercept, plug in x=0 Lets find the value of y when Start with the given polynomial Plug in Raise 0 to the second power to get 0 Multiply 3 by 0 to get 0Consider the graph of the function f(x)= (x^23x4)/(x^29x8) what are the vertical asymptotes?See Answer Check out a sample Q&A here Want to see this answer and more?
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Calculus Using the first and second derivatives, sketch the graph of f(x) = x^4 8x^3 The yintercept of the quadratic function f(x) = x² 3x 4 is (0, c), ie, the point ;3) f(x)C)x8 2 4) f(x ) D) x 2 5) 1 3f(x)E)(x 3) 8 6) f(3x) F) 8x 7) f(x) G)(x2) 8) f(x) H) (3x)8 9) f(x2) I)3x8 10) f(x 3) J) (x2)8 For #11 and #12, suppose g(x)=1 x Match each of the numbered functions on the left with the lettered function on the right that it equals 11) 4g(3x7)2 A) 6 2x5 3 12) 6g(2x5)3B)4 3x7
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F (x) = 3x2 − 5x(−4) Multiply 5 and 4 to get Multiply 5 and −4 to get − 3x^ {2}\left (x\right) 3x2 − (−x) The opposite of x is x The opposite of −x is x 3x^ {2Experts are waiting 24/7 to provide stepbystep solutions in as fast as 30 minutes!*Why is the graph a line without a vertical asymptote at x=2?
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I'm really bad at drawing lines, but you get the idea!Free functions inverse calculator find functions inverse stepbystepShort Solution Steps f ( x ) = 3 x ^ { 2 } \frac { 3 } { x ^ { 2 } } f ( x) = 3 x 2 − x 2 3 To add or subtract expressions, expand them to make their denominators the same Multiply 3x^ {2} times \frac {x^ {2}} {x^ {2}} To add or subtract expressions, expand them to make their denominators the same Multiply 3 x 2 times x 2 x 2
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Click here👆to get an answer to your question ️ Draw the graph of p(x) = x^2 3x 4 and find zeroesVerify the zeroes of the polynomialsThe axis of symmetry is , ie, The minimum value is ;//googl/JQ8NysUse the Graph of f(x) to Graph g(x) = f(x) 3 MyMathlab Homework
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2 Why is there a "break" in the line at x=2?Question Find yintercept and vertex y = x^2 3x 4 Answer by jim_thompson5910 () ( Show Source ) You can put this solution on YOUR website!Draw the graph of the function {eq}f(x) = x^3 3x^2 1 {/eq} Use the first and second derivatives of {eq}f {/eq} to determine the intervals on which {eq}f {/eq} is increasing, decreasing
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Graph of f (x)=2/3x2 Below you can find the full step by step solution for you problem We hope it will be very helpful for you and it will help you to understand the solving process If it's not what You are looking for, type in into the box below your own function and let us find the graph of it The graph of f (x)=2/3x2 represents a graphGraph f(x) = 3x^3 x^2 12x 4 To graph this function, you need to know the yintercept and xintercepts, also known as roots or zerosIt is easy to find the yintercept Just set x=0, and you can see that the yintercept=4F (x)=x^23x 2 \square!
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Graph Of F X 2 3x 2
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