Consider the quadratic function y = x² - 4x-5.
(a) Using your calculator, graph the function on the
grid provided.
(b) State the zeroes of the function by inspecting the
graph. Circle their locations.
(c) Find the zeroes algebraically by factoring.
Verify that your answers match (b).

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is