Plot the data for the functions Ζ(x) and g(x) on a grid. x -2 -1 0 1 2 Ζ(x) 1 4 16 x -1 0 1 2 3 g(x) 3 4 5 6 7 b. Identify each function as linear, quadratic, or exponential, and use complete sentences to explain your choices. c. Describe what happens to the function values in each function as x increases from left to right. d. At what value(s) of x are the function values equal? If you cannot give exact values for x, give estimates.
Accepted Solution
A:
Part A:
The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).
Part B:
The graph of f(x) shows that f(x) is an exponential function. The graph of g(x) shows that g(x) is a linear function.
Part C:
As x increases from left to right, the function f(x) increases very rapidly. As x increases from left to right, the function f(x) increases at a constant rate.
Part D:
From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.