Question

Which represents where f(x) = g(x)?

a. f(4) = g(4) and f(0) = g(0)
b. f(–4) = g(–4) and f(0) = g(0)
c. f(–4) = g(–2) and f(4) = g(4)
d. f(0) = g(–4) and f(4) = g(–2)

Answer 1

B: f(–4) = g(–4) and f(0) = g(0)

Explanation:

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Answer 2

Answer: b. f(–4) = g(–4) and f(0) = g(0)

Step-by-step explanation: We are given function f(x) as a line.

Function g(x) as a parabola.

The line of f(x) function and parabola g(x) cut graph at (0,4) and (-4,4) coordinates.

Therefore, at x=0, f(x) and g(x) has same values.

Also at x=-4, f(x) and g(x) has same values.

Therefore, f(–4) = g(–4) = 4 and f(0) = g(0) =4.

Therefore, correct option is b. f(–4) = g(–4) and f(0) = g(0).