Rate of Change for Non-Linear Functions Alg 1 Concept Notes Page and Practice KEY – Rate of change for non-linear functions 1) Show three examples of how the given interval can be expressed. [x1, x2] or 𝑥1 ≤ 𝑥 ≤ 𝑥2 Here that is with values for clarity. or x = x1 to x = x2 [2, 9] or 2≤𝑥≤9 or x1 = 2 to x2 = 9 2) What two things will be provided for you in the rate of change problems? A function or graph of reference, and a given interval 3) What two measures are always being compared when determining the slope? A ratio of vertical distance divided by horizontal distance. 4) If a function is increasing, the slope is _positive_____. 5) When the slope is negative, the function is ___decreasing_____. 6) A horizontal line has a slope of _____0___. Is it a function? yes 7) A vertical line has a slope of _undefined_____. Is it a function? no Rate of Change for Non-Linear Functions Alg 1 Practice Problems Key 1. Find the rate of change pictured here from 1<x<3 Find the average rate of change of the function from x1 to x2. 2) f ( x) 3 x 2 ; x1 = 8 to x2 = -3 3) g ( x) x 5 ; x1 =9 to x2 = 30 4) k ( x) 2 x 2 ; x1 =-3 to x2 = 5 5) p( x) 2 x 3 ; x1 =3 to x2 = 5 6) n( x) 3x3 2 ; x1 =-3 to x2 = 2 This is a TOUGH ONE!