Answer:
f(x)
Step-by-step explanation:
The value of y will be zero at the x-intercept. Using x=27 in the four functions, we find ...
k(27) = ∛(-54) ≠ 0
h(27) = 3∛0 = 0
g(27) = 3 +∛0 = 3
f(27) = ∛0 = 0
So, choices h(x) and f(x) match the x-intercept requirement.
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When x=0, the function value is the y-intercept.
h(0) = 3∛27 = 3·3 = 9
f(0) = ∛27 = 3
The only function to match the x- and y-intercept requirements is f(x). It also matches the requirements for the domain and the slope.
