Problem 672

Consider the function F and G in the graph.

Find (F – G)(3)

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Solution:-

Being by applying the definition for the difference of two function values to rewrite(F -G)(3)as F(3) – G(3).The difference is graphically equivalent to the difference of the second coordinates on F and G when the first coordinate is 3.

To find the difference of the function values F(3)and G(3), evolution involves a three step process.

1. Find the value of F(3)

2. Find the value of G(3)

3. Then find the difference of F(3)and G(3)

The first step is to find the value of the  F(3), which is the y-coordinate of the point on the graph F wneh the x-coordinate is 3.

F(3) = 1

The second step is to find the value of G(3), which is the y-coordinate of the point on the graph G when the x-coordinate is 3.

G(3) = 0

The third step is to find the difference of F(3) and G(3).

(F – G)(3) = F(3)- G(3) = 1 – 0 =1

 

 

 

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