Question

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

A. -5
B. -1/5
C. 1/5
D. 5​

Answer 1

`k=-5`

Explanation:

If we observe the graph carefully there are two on each of the graphs highlighted at x=-2.The functions take the following values at that x.

`f(-2)=2`

`g(-2)=-10`

given the condition

`g(x)=k*f(x)`

put
`x=-2`

we get .
`-10=k*2`

`k=-5`