Graph y>=2(1.3)^x y<=-x^2+4x+5

$y \geq 2 {(1.3)}^{x}$ $y \leq - x^{2} + 4 x + 5$

Step 1

Graph $y \geq 2 {(1.3)}^{x}$ .

Remove parentheses.

$y \geq 2 \cdot {1.3}^{x}$

The equation is not linear, so a constant slope does not exist.

Not Linear

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $2 \cdot {1.3}^{x}$ .

$y \geq 2 \cdot {1.3}^{x}$

Step 2

Graph $y \leq - x^{2} + 4 x + 5$ .

The equation is not linear, so a constant slope does not exist.

Not Linear

Graph a solid line, then shade the area below the boundary line since $y$ is less than $- x^{2} + 4 x + 5$ .

$y \leq - x^{2} + 4 x + 5$

Step 3

Plot each graph on the same coordinate system.

$y \geq 2 {(1.3)}^{x}$

$y \leq - x^{2} + 4 x + 5$

Step 4