Question

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

2
-2
1/2
-1/2

Answer 1

Explanation:

Using the graph we can notice something

let's take the abscissa -2 and -4

• the ordinate that goes with -2 using g is 0
• the ordinate that goes with -4 using f is 0

so we can say that :

f(-4)=g(-2)

wait we khow that g(x)=f(k*x)

so x= -2 then let's replace it in the expression : f(k*x)

we get f(-4)=g(-2)=f[k*(-2)]

let's solve the equation: -2k = -4

k = -4/-2

k=2

so finally we get k=2

let's check :

from the graph we get :

• f(-2)=2
• g(-1)=2

we have (-1)*2 = -2

so it is true