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