211k views
2 votes
Given f(x) and g(x) = k•f(x) use the graph to determine the value of k. A. -2 B. -1/2 C. 1/2 D. 2

Given f(x) and g(x) = k•f(x) use the graph to determine the value of k. A. -2 B. -1/2 C-example-1
User InkGolem
by
8.2k points

1 Answer

6 votes

Answer:

A. k=-2

Explanation:

Interpretation Of Graphs

Very useful information can be obtained from simple inspection to the graph of functions. Though the are meant only to provide general information, specific details can help us to model reality

We are given the condition that g(x)=k.f(x). It means that every value of g(a) is the result of the value of f(a) by a constant. We can see the following points in the graph: g(-5)=2, f(-5)=-1. g(-3)=-2, f(-3)=1. If we divide g/f for each point we get

g(-5)/f(-5)=-2

g(-3)/f(-3)=-2

It means that g(x)=-2f(x), the constant is k=-2

User Bogaso
by
8.2k points