Question

Select the correct answer.
The graph of function f is shown.

The graph of an exponential function passes through (minus 10, minus 1), (2, 8) also intercepts the x-axis at minus 2 units and y-axis at 2 units

Function g is represented by the table.

x -2 -1 0 1 2
g(x)
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 different x- and y-intercepts but the same end behavior as x approaches ∞.
C.
They have the same x-intercept and the same end behavior as x approaches ∞.
D.
They have the same x- and y-intercepts.

Answer 1

C

Both functions have an x-intercept at x = -2 (f(−2)=0 and g(−2)=0), but different y-intercepts (f(0)=2 while g(0)=8). Both are exponential with base > 1, so both rise to ∞ as x → ∞.