For each curve below, find the values of x for which the curve is increasing i. y=x^2 -4x ii. y=x^2 -2x-3 iii. y=12+4x-x^2 iv. y=x^3 +3x^2-5 v. y=x^3-6x^2-15x+8 vi. y=24x-3x^2-x^3

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?

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

b

step-by-step explanation:

step-by-step explanation:

which statement is true about the local minimum of the graphed function?

over the interval [–4, –2], the local minimum is 0.

over the interval [–2, –1], the local minimum is 25.

over the interval [–1, 4], the local minimum is 0.

over the interval [4, 7], the local minimum is -7.