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The table below shows the values for the function y= f(x)

Table:
X Y
-3 5
-1 -4
0 2
5 -8
6 3

If g(x)=1/2f(x), which of the following are solutions to g(x)
(-3,5.5)
(-1,-2)
(0,4)
(5,-8)
(6,3/2)

User Asda
by
8.1k points

2 Answers

4 votes

Answer:

(-1,-2) and (6, 3/2)

Explanation:

Have a good day :)

User Aadishri
by
8.7k points
3 votes

Hello!

The answers are:

Second option, evaluating x=-1


g(-1)=-2

Fifth option, evaluating x=6


g(6)=(3)/(2)

Why?

We are given a table that shows the values for the given function (f(x), and we are asked to find the solution of an equivalent function (g(x)).

We have that:


g(x)=(1)/(2)f(x)

Now, evaluating we have:

For x=-3


g(-3)=(1)/(2)f(-3)=(1)/(2)*5=2.5

We have the values (-3,2.5) so, it's not part of the solutions to the function g(x).

For x=-1


g(-1)=(1)/(2)f(-3)=(1)/(2)*-4=-2

We have the values (-1,-2) so, it's part of the solutions to the function g(x).

For x=0


g(0)=(1)/(2)f(0)=(1)/(2)*2=1

We have the values (0,1) so, it's not part of the solutions to the function g(x).

For x=5


g(5)=(1)/(2)f(5)=(1)/(2)*-8=-4

We have the values (5,-8) so, it's not part of the solutions to the function g(x).

For x=6


g(6)=(1)/(2)f(6)=(1)/(2)*3=(3)/(2)

We have the values
(6,(3)/(2)) so, it's part of the solutions to the function g(x).

Hence, we have that the answers are:

Second option, evaluating x=-1


g(-1)=-2

Fifth option, evaluating x=6


g(6)=(3)/(2)

Have a nice day!

User Alexander Reshytko
by
8.2k points

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