Find the x and y Intercepts f(x)=-1-5x+4x^3-8x^2

$f (x) = - 1 - 5 x + 4 x^{3} - 8 x^{2}$

Find the x-intercepts.

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

$0 = - 1 - 5 x + 4 x^{3} - 8 x^{2}$

Solve the equation.

Remove parentheses.

$0 = - 1 - 5 x + 4 x^{3} - 8 x^{2}$

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 2.53255168$

x-intercept(s) in point form.

x-intercept(s): $(2.53255168, 0)$

Find the y-intercepts.

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

$y = - 1 - 5 \cdot 0 + 4 {(0)}^{3} - 8 {(0)}^{2}$

Solve the equation.

Remove parentheses.

$y = - 1 - 5 \cdot 0 + 4 \cdot 0^{3} - 8 {(0)}^{2}$

Remove parentheses.

$y = - 1 - 5 \cdot 0 + 4 \cdot 0^{3} - 8 \cdot 0^{2}$

Remove parentheses.

$y = - 1 - 5 \cdot 0 + 4 {(0)}^{3} - 8 {(0)}^{2}$

Simplify $- 1 - 5 \cdot 0 + 4 {(0)}^{3} - 8 {(0)}^{2}$ .

Simplify each term.

Multiply $- 5$ by $0$ .

$y = - 1 + 0 + 4 {(0)}^{3} - 8 {(0)}^{2}$

Raising $0$ to any positive power yields $0$ .

$y = - 1 + 0 + 4 \cdot 0 - 8 {(0)}^{2}$

Multiply $4$ by $0$ .

$y = - 1 + 0 + 0 - 8 {(0)}^{2}$

Raising $0$ to any positive power yields $0$ .

$y = - 1 + 0 + 0 - 8 \cdot 0$

Multiply $- 8$ by $0$ .

$y = - 1 + 0 + 0 + 0$

Simplify by adding numbers.

Add $- 1$ and $0$ .

$y = - 1 + 0 + 0$

Add $- 1$ and $0$ .

$y = - 1 + 0$

Add $- 1$ and $0$ .

$y = - 1$

y-intercept(s) in point form.

y-intercept(s): $(0, - 1)$

List the intersections.

x-intercept(s): $(2.53255168, 0)$

y-intercept(s): $(0, - 1)$