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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