Find the x and y Intercepts s(x)=-5*2^(3x+1)

$s (x) = - 5 \cdot 2^{3 x + 1}$

Find the x-intercepts.

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

$0 = - 5 \cdot 2^{3 x + 1}$

Solve the equation.

Remove parentheses.

$0 = - 5 \cdot 2^{3 x + 1}$

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

No solution

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

x-intercept(s): $None$

Find the y-intercepts.

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

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

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

Multiply $3$ by $0$ .

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

Add $0$ and $1$ .

$y = - 5 \cdot 2^{1}$

Evaluate the exponent.

$y = - 5 \cdot 2$

Multiply $- 5$ by $2$ .

$y = - 10$

y-intercept(s) in point form.

y-intercept(s): $(0, - 10)$

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, - 10)$