FOA/Algebra 1 Unit 5: Comparing Linear, Quadratic, and Exponential Functions Notes Scenario 2: Consider the following equations: f(x] = 5x2 + 4 and g (x) = 2x. X F(x) G(x) a. As x increases, will the value of f(x] always be greater than the value of g (x) ? 0 2 b. Will an exponential function eventually always succeed a quadratic 3 function? 4 5 6 8 9 10 Scenario 3: Consider the equations f(x) = 2x + 3 and g(x) = 0.5x2 - 3 and h(x) = 1.5x. 20 X F(x) G(x) H(x ) a. Will the growth rate of g (x] ever exceed the growth rate of f(x)? 15 2 3 -10 b. Will the growth rate of h(x) ever 4 exceed the growth rate of f(x)? 5 -5 6 7 c. Will the growth rate h(x] ever 8 exceed the growth rate of g(x)? 10 10 7