Graph Using a Table of Values f(x)=(2x+3)/(x+2)

$f (x) = \frac{2 x + 3}{x + 2}$

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

$y = \frac{2 (- 1) + 3}{(- 1) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{2 (- 1) + 3}{- 1 + 2}$

Remove parentheses.

$y = \frac{2 (- 1) + 3}{(- 1) + 2}$

Simplify $\frac{2 (- 1) + 3}{(- 1) + 2}$ .

Simplify the numerator.

Multiply $2$ by $- 1$ .

$y = \frac{- 2 + 3}{- 1 + 2}$

Add $- 2$ and $3$ .

$y = \frac{1}{- 1 + 2}$

Simplify the expression.

Add $- 1$ and $2$ .

$y = \frac{1}{1}$

Divide $1$ by $1$ .

$y = 1$

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

$y = \frac{2 (0) + 3}{(0) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{2 (0) + 3}{0 + 2}$

Remove parentheses.

$y = \frac{2 (0) + 3}{(0) + 2}$

Simplify $\frac{2 (0) + 3}{(0) + 2}$ .

Simplify the numerator.

Multiply $2$ by $0$ .

$y = \frac{0 + 3}{0 + 2}$

Add $0$ and $3$ .

$y = \frac{3}{0 + 2}$

Add $0$ and $2$ .

$y = \frac{3}{2}$

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

$y = \frac{2 (1) + 3}{(1) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{2 (1) + 3}{1 + 2}$

Remove parentheses.

$y = \frac{2 (1) + 3}{(1) + 2}$

Simplify $\frac{2 (1) + 3}{(1) + 2}$ .

Simplify the numerator.

Multiply $2$ by $1$ .

$y = \frac{2 + 3}{1 + 2}$

Add $2$ and $3$ .

$y = \frac{5}{1 + 2}$

Add $1$ and $2$ .

$y = \frac{5}{3}$

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

$y = \frac{2 (2) + 3}{(2) + 2}$

Solve the equation for $y$ .

Remove parentheses.

$y = \frac{2 (2) + 3}{2 + 2}$

Remove parentheses.

$y = \frac{2 (2) + 3}{(2) + 2}$

Simplify $\frac{2 (2) + 3}{(2) + 2}$ .

Simplify the numerator.

Multiply $2$ by $2$ .

$y = \frac{4 + 3}{2 + 2}$

Add $4$ and $3$ .

$y = \frac{7}{2 + 2}$

Add $2$ and $2$ .

$y = \frac{7}{4}$

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

$\begin{array}{c} x & y \\ - 1 & 1 \\ 0 & \frac{3}{2} \\ 1 & \frac{5}{3} \\ 2 & \frac{7}{4} \end{array}$

Graph Using a Table of Values f(x)=(2x+3)/(x+2)

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