Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k. A) 5
B) 1/5
C) -1/5
D) -5

Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

> the point (0,4) is the y-intercept
substitute

step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

> the point (0,4) is the y-intercept
substitute

step 3
Find the value of k
we have

> equation A
> equation B
> equation C
substitute equation A and equation C in equation B and solve for k

Solution

First identify the input values. The input value is the first coordinate in an ordered pair. There are no restrictions, as the ordered pairs are simply listed. The domain is the set of the first coordinates of the ordered pairs.

D={2,3,4,5,6}

Next identify the output values. The output value is the second coordinate in an ordered pair. The range is the set of the second coordinates of the ordered pairs. Do not list the same output twice.