Question

Given f(x) and g(x) = k·f(x), use the graph to determine the value of k.
g(x)

Answer 1

Explanation:

The diagram for this exercise is attached below. We have two linear functions $f(x) \ and \ g(x)$ and the following relationship:

$g(x) = kf(x)$

From the graph, we know that:

$f(-3)=1 \\ \\ g(-3)=-3$

Then, substituting into the relationship:

$g(-3)=kf(-3) \\ \\ -3=k(1) \\ \\ \\ Finally: \\ \\ \boxed{k=-3}$