Question

Complete the table of inputs and outputs for the given function.
g(x)=-4x-1

Answer 1

(x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)

Explanation:

To fill in the y-values, you need to put the x-value in the equation and evaluate.

for x=0

y = -4(0) -1 = -1

for x=-1

y = -4(-1) -1 = 4 -1 = 3

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To fill in the x-values, we can solve for x and then do as we did above.

y = -4x -1

y +1 = -4x . . . . add 1

-(y +1)/4 = x . . . divide by -4

for y=7

x = -(7 +1)/4 = -2

for y=-13

x = -(-13+1)/4 = -(-12/4) = 3

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Then the table is ...

`\boxed{\begin{array}{cc}x&g(x)\\-2&7\\0&-1\\3&-13\\-1&3\end{array}}`