Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6.11.2 test (cst): rational expressions and functions question 20 of 25…

Question

6.11.2 test (cst): rational expressions and functions
question 20 of 25
the function below describes the relationship between the height h and the width w of a rectangle with area 70 sq. units.
h(w)=\frac{70}{w}
what is the domain of the function?
a. w < 0
b. w > 0
c. w < 1
d. w > 1

Explanation:

Step1: Analyze the denominator of the rational function

For the function \(H(w)=\frac{70}{w}\), the denominator \(w
eq0\) because division by zero is undefined.

Step2: Consider the real - world context (width of a rectangle)

In the context of the width \(w\) of a rectangle, width cannot be negative. So \(w>0\).

Answer:

B. \(w > 0\)