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Question 21 (1 point) This table shows the input and output values for a linear function f(x). What is the positive difference of outputs for any two inputs that are four values apart? x −3 −2 −1 0 1 2 3 f(x) −1.5 −1 −0.5 0 0.5 1 1.5 Enter your answer in the box. (Enter the number and nothing else)

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Answer:

2

Step-by-step explanation:

x     f(x)      

−3    −1.5

−2    −1

−1     −0.5

0     0

1      0.5

2     1

3     1.5

This table shows the input and output values for a linear function f(x).

Now, two inputs which are four values apart are say -3 and 1 and the corresponding outputs are - 1.5 and 0.5.

Therefore, the positive difference of outputs is [0.5 - (- 1.5)] = 2 (Answer)

The positive difference of outputs for any two inputs that are four values apart is 2.

Given that,

The table shows the input and output values for a linear function f(x).

We have to determine,

What is the positive difference of outputs for any two inputs that are four values apart?

According to the question,

The table shows the input and output values for a linear function f(x).

x        -3     -2   -1       0   1       2   3

f(x)     -1.5  -1    -0.5  0    0.5  1     1.5

It is a polynomial function with a maximum degree of 0 to 1. It is represented on the graph with a straight line that usually has a slope.  

The given table shows the input and output values for a linear function f(x).

Now, two inputs that are four values apart are said -3 and 1 and the corresponding outputs are - 1.5 and 0.5.

Therefore,

The positive difference of outputs is.

= [0.5 - (- 1.5)]

= 2

Hence, The positive difference of outputs for any two inputs that are four values apart is 2.

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