Question

Please help!!!! I’m stuck!!!!

The graph of function f is shown.
(Picture added)

Function g is represented by the table.
X: -2 -1 0 1 2
g(x): -2/3 0 2 8 26

Which statement correctly compares the two functions?

A.) they have the same y-intercept and the same end behavior as x approaches ♾

B.) they have the same x-intercept and the same end behavior as x approaches ♾

C.) they have different x- and y-intercepts but the same end behavior as x approaches ♾

D.) they have the same x- and y-intercepts

Answer 1

Answer: A. They have the same y-intercept and the same end behavior as x approaches ∞

Step-by-step explanation:

Both appear to be exponential functions, so will have the same end behavior as x approaches ∞.

The y-intercept on the graph is 2, as it is in the g(x) table.

The x-intercept on the graph is near -2, but it is -1 in the table.

So, the x-intercepts are different, the y-intercepts are the same, and the end behavior is the same.

_____

The growth factor for g(x) appears to be larger. The graph represents g(x) (black) and f(x) (red). The given table values are shown as green points.

Answer 2

Answer:

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

Step-by-step explanation:

Both appear to be exponential functions, so will have the same end behavior as x approaches ∞.

The y-intercept on the graph is 2, as it is in the g(x) table.

The x-intercept on the graph is near -2, but it is -1 in the table.

So, the x-intercepts are different, the y-intercepts are the same, and the end behavior is the same.

_____

The growth factor for g(x) appears to be larger. The graph represents g(x) (black) and f(x) (red). The given table values are shown as green points.