Find the x and y Intercepts F(x)=-1/(x+4)

$F (x) = \frac{- 1}{x + 4}$

Step 1

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = \frac{- 1}{x + 4}$

Solve the equation.

Set the numerator equal to zero.

$- 1 = 0$

Since $- 1 \neq 0$ , there are no solutions.

No solution

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

x-intercept(s): $None$

Step 2

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = \frac{- 1}{(0) + 4}$

Solve the equation.

Remove parentheses.

$y = \frac{- 1}{0 + 4}$

Remove parentheses.

$y = \frac{- 1}{(0) + 4}$

Simplify $\frac{- 1}{(0) + 4}$ .

Add $0$ and $4$ .

$y = \frac{- 1}{4}$

Move the negative in front of the fraction.

$y = - \frac{1}{4}$

y-intercept(s) in point form.

y-intercept(s): $(0, - \frac{1}{4})$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, - \frac{1}{4})$

Step 4