Question

Which statement is true regarding the functions on the graph?

A. f(–3) = g(–4)
B. f(–4) = g(–3)
C. f(–3) = g(–3)
D. f(–4) = g(–4)

Answer 1

C. f(–3) = g(–3)

Solution:

The given line touch each other at the point (-3,-4). At this point the value of the functions f(x) and g(x) are same.

1) For function f(x) When x=-3 the function f(-3)=-4.

2)2) For function g(x) When x=-3 the function g(-3)=-4.

f(-3)=g(-3)=-4.

Among all the options option C. f(–3) = g(–3) is the right answer.

Answer 2

f(x) the blue line intersects g(x) the red line at coordinate (-3, -4)

which is when x = -3 and y = -4.

So, f(-3) = -4 and g(-3) = -4

So, f(-3) = g(-3)

Answer: C