Question

given f(x) and g(x)=k f(x), use the graph to determine the value of k.
o a 3
o b $\frac{1}{3}$
o c $-\frac{1}{3}$
o d -3

Explanation:

Step1: Select a point on the graphs

Let's choose the x - value \(x=-3\). On the graph of \(y = f(x)\), when \(x = - 3\), \(y=f(-3)=1\). On the graph of \(y = g(x)\), when \(x=-3\), \(y = g(-3)=-3\).

Step2: Use the relationship \(g(x)=kf(x)\)

Substitute \(x=-3\) into \(g(x)=kf(x)\), we get \(g(-3)=kf(-3)\). Since \(g(-3)=-3\) and \(f(-3)=1\), then \(-3=k\times1\).

Answer:

D. -3