Question

Select the correct answer.
The function fis given by the table of values.

x: 1, 2, 3, 4
f(x): 5, 7, 11, 19,

If f(x) is shifted 5 units down to obtain g(x),

which table of values represents the function g?


A. x: -4, -3, -2, -1
g(x): 0 , 2, 6, 14

B. x: -4, -3, -2, -1
g(x): 5, 7, 11, 19

C. x: 1, 2, 3, 4
g(x): 0, 2, 6, 14

D. x: 1, 2, 3, 4
g(x): 10 , 12, 16, 24

Answer 1

Answer:

A

Step-by-step explanation:

if f(x) is shifted 5 units down to obtain g(x) then

g(x) = f(x) - 5

and

x=1 , g(x) = f(x)-5 = 5-5 = 0

x=2 , g(x) = f(x)-5 = 7-5 = 2

x=3 , g(x) = f(x)-5 = 11-5 = 6

x=4 , g(x) = f(x)-5 =19-5 = 14

and the right answer is A

Answer 2

The table that represents the function g(x) is:

x:    1, 2, 3, 4

g(x): 0, 2, 6, 14

Which table represents the values of function g?

Here we know that g(x) = f(x) - 5.

And the table that represents f(x) is:

x:    1, 2, 3, 4

f(x): 5, 7, 11, 19

Then, for the table of g(x) we just need to subtract 5 units in each of the bottom values.

Then we will have:

x:    1, 2, 3, 4

g(x): 0, 2, 6, 14

We conclude that the correct option is C.

If you want to learn more about tables, you can read:

https://brainly.com/question/14078371

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