Question

FOR 50 POINTS!!!!!Select the correct answer. The graph of function f is shown. The graph of exponential function passes through (minus 0.5, minus 8) and (5, 1) also intercepts the x-axis at the point 1 unit and y-axis at point minus 3 Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches ∞. C. They have the same x-intercept and the same y-intercept. D. They have the same y-intercept and the same end behavior as x approaches ∞.

Answer 1

Using function concepts, it is found that the correct statement is given as follows:

B. They have the same x-intercept and the same end behavior as x approaches ∞.

What is the end behavior of a function?

The end behavior of a function is the value of f(x) as x goes to infinity. In this problem, we have that both functions have unbounded growth, that is, both go to positive infinity, hence they have the same end behavior.

What is the y-intercept of a function?

It is the value of y when x = 0. Hence:

• The y-intercept of f(x) is y = -3.

• The y-intercept of g(x) is y = -4.

What is the x-intercept of a function?

It is the value of x when y = 0. Hence:

• The x-intercept of f(x) is x = 1.

• The x-intercept of g(x) is x = 1.

Hence statement B is correct.

More can be learned about function concepts at https://brainly.com/question/25537936

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