Question

Which of the following functions is graphed above?

A.
f(x) = 4log(x + 4)
B.
f(x) = -4log(x + 4)
C.
f(x) = 4log(-x - 4)
D.
f(x) = -4log(-x + 4)

Answer 1

The answer is D ⇒ -4log(-x + 4)

Explanation:

From the graph we chose the point of x-intercept (3 , 0)

∵ f(x) = -4log(-x + 4)

∴f(3) = -4log(-3 + 4) = -4log(1)

∵ log(1) = 0

∴f(3) = 0

If x = 0

∴ f(0) = -4log(0 + 4) = -4log4 = -2.40 ⇒ same value on the graph

∴ The answer is (D)