A Rectangular Sheet of Metal Has a Length That Is

question 66

Essay

A rectangular sheet of metal has a length that is 4 more than the width.
(a)Write the area of the rectangular sheet as a function of the width.
(b)Without simplifying,write the ratio of the length of the sheet to the area of the sheet as a function of the width.
(c)Simplify the function you wrote in b.
(d)What kind of function is this?
(e)What is its domain out of context?
(f)What is its domain in the given context?

---

Definitions:

Systematic Desensitization

A therapeutic process intended to reduce a person’s fear or anxiety towards a particular object or situation by gradually increasing exposure while using relaxation techniques.

Hyperactive Children

Children who display excessively high levels of activity, often impulsive and with difficulty maintaining attention.

Stimulants

Substances that increase activity in the brain, leading to heightened alertness, attention, and energy.

Secondhand Smoke

Smoke from the tobacco products and exhalations of other people; also referred to as passive smoking.