Question

Complete the function table

The function F is defined by the following rule

f (x) = -5x + 1

Answer 1

`\begin{array} \cline{1-2}\text{x} & \text{f(x)}\\\cline{1-2}-2 & 11\\\cline{1-2}0 & 1\\\cline{1-2}2 & -9\\\cline{1-2}4 & -19\\\cline{1-2}5 & -24\\\cline{1-2}\end{array}`

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Step-by-step explanation

I'll show the steps when we plug in x = -2.

Similar steps will be used for the other x values.

`f(\text{x}) = -5\text{x} + 1\\\\f(-2) = -5(-2) + 1\\\\f(-2) = 10 + 1\\\\f(-2) = 11\\\\`

The input x = -2 in the domain leads to the output f(x) = 11 in the range.

We can say that the point (-2,11) is on this line.

The graphing tools Desmos and GeoGebra can be used to verify the answer.