Question

a. Plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. Which function could be described as exponential and which as linear? Explain. c. If the functions continue with the same pattern, will the function values ever be equal? If so, give estimates for the value of x that will make the function values equals. If not, explain why the function values will never be equal.

Answer 1

Explanation:

a) see the attached graph

b) f(x) is exponential. It matches the equation f(x) = 3^x.

   g(x) is linear. It matches the equation g(x) = 2x.

c) The line misses the curve so does not intersect anywhere. There is no value of x for which the functions are equal.