GRADE 11-FUNCTIONS AND GRAPHS QUESTION 9 The sketch below shows the graph of the function f(x) ax + bx + c. The straight line with equation 3y x- 5 intersects f B. The points A(-2,0) and B are the x-intercepts of f. Point D(-1:3) is a point on f. D(-1:3) 3y =x - 5 A(-2; 0) 9.2 Determine the equation off. 9.4 Point E is a point on the straight line so that DE is parallel to the y-a the length of DE. 9.5 Calculate the average gradient between B and D. 9.6 For which value(s) of x is x xf(x) 20? Samsung Quad Camera Tshidiey Innocentia

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: