The scissor lift is a device that can lower and raise a platform. The maximum and minimum heights of the platform of a particular scissor lift are shown. The scissor lift can raise the platform at a rate of 3.5 inches per second. The height of the platform after t seconds is given by h(t)=3.5t+48. Graph the function and identify its domain and range. When raised to its maximum height the scissor lift is 252 inches tall. Lowered to its lowest point it is 48 inches tall.

Step-by-step explanation:

The relationship given:

See the graph attached. It includes the endpoints as described below, considering h = 48 as lowest and h = 252 as highest points of the function.

The t- coordinates of the respective h- points are:

and

The domain:

The range:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4