Graph Using a Table of Values f(x)=-2^(x+5)-3

$f (x) = - 2^{x + 5} - 3$

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = - 2^{(- 2) + 5} - 3$

Simplify $- 2^{(- 2) + 5} - 3$ .

Simplify each term.

Add $- 2$ and $5$ .

$y = - 2^{3} - 3$

Raise $2$ to the power of $3$ .

$y = - 1 \cdot 8 - 3$

Multiply $- 1$ by $8$ .

$y = - 8 - 3$

Subtract $3$ from $- 8$ .

$y = - 11$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = - 2^{(- 1) + 5} - 3$

Simplify $- 2^{(- 1) + 5} - 3$ .

Simplify each term.

Add $- 1$ and $5$ .

$y = - 2^{4} - 3$

Raise $2$ to the power of $4$ .

$y = - 1 \cdot 16 - 3$

Multiply $- 1$ by $16$ .

$y = - 16 - 3$

Subtract $3$ from $- 16$ .

$y = - 19$

Substitute $0$ for $x$ and find the result for $y$ .

$y = - 2^{(0) + 5} - 3$

Simplify $- 2^{(0) + 5} - 3$ .

Simplify each term.

Add $0$ and $5$ .

$y = - 2^{5} - 3$

Raise $2$ to the power of $5$ .

$y = - 1 \cdot 32 - 3$

Multiply $- 1$ by $32$ .

$y = - 32 - 3$

Subtract $3$ from $- 32$ .

$y = - 35$

Substitute $1$ for $x$ and find the result for $y$ .

$y = - 2^{(1) + 5} - 3$

Simplify $- 2^{(1) + 5} - 3$ .

Simplify each term.

Add $1$ and $5$ .

$y = - 2^{6} - 3$

Raise $2$ to the power of $6$ .

$y = - 1 \cdot 64 - 3$

Multiply $- 1$ by $64$ .

$y = - 64 - 3$

Subtract $3$ from $- 64$ .

$y = - 67$

Substitute $2$ for $x$ and find the result for $y$ .

$y = - 2^{(2) + 5} - 3$

Simplify $- 2^{(2) + 5} - 3$ .

Simplify each term.

Add $2$ and $5$ .

$y = - 2^{7} - 3$

Raise $2$ to the power of $7$ .

$y = - 1 \cdot 128 - 3$

Multiply $- 1$ by $128$ .

$y = - 128 - 3$

Subtract $3$ from $- 128$ .

$y = - 131$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 11 \\ - 1 & - 19 \\ 0 & - 35 \\ 1 & - 67 \\ 2 & - 131 \end{array}$

Graph Using a Table of Values f(x)=-2^(x+5)-3

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