Question

this table shows input and output values for a linear function f(x). What is the difference of outputs for any two inputs that are one value apart?

Answer 1

Answer: The answer is (c) 0.5.

Step-by-step explanation:  We are given a table that shows the input and output values of a function f(x). We are to find the difference of outputs for any two inputs that are one value apart.

That is, we need to find f(n + 1) - f(n), for n > -4.

Let us take n = 0. So, n + 1 = 0.

From the table, we note that f(0) = 1  and  f(1) = 1.5.

Therefore, we have

$f(1)-f(0)=1.5-1=0.5.$

We can also check taking different values of 'n' that the difference will come out to be same, i.e., 0.5.

Thus, the answer is 0.5.

Answer 2

The answer is 0.5.

X is the input and f(x) is the output. Between -3 and -2 the difference is 0.5. Because it goes from -0.5 to 1