Question

Select the correct answer. The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. Which statement correctly compares the two functions? A. They have the same y-intercept and the same end behavior. B. They have different y-intercepts but the same end behavior. C. They have different y-intercepts and different end behavior. D. They have the same y-intercept but different end behavior.

Answer 1

Based on the given information, we can compare the two functions.

For function f:
- It has a vertex at (1, 3).
- It passes through (-2, 10) and (8, 2).
- It intercepts the y-axis at 4 units.

For the exponential function with the given properties:
- It has a vertex at (1, 3).
- It passes through (-2, 10) and (8, 2).
- It intercepts the y-axis at 4 units.

From the information provided, we can conclude that the two functions have the same y-intercept and the same end behavior. Therefore, the correct answer is:

A. They have the same y-intercept and the same end behavior.