Question

A clothing store uses the step function f(x) to recommend jeans sizes as a function of x, a child’s height in inches.

(First picture is equation)

According to the function, which is the height of a child who should wear size 2 jeans?

A.) 41.9 inches
B.) 42 inches
C.) 44 inches
D.) 44.1 inches

Answer 1

B) 42 because it can't be more than 44 but it can't be less than 42 either.

Answer 2

Option B is correct.

Height of a child who wear size 2 jeans is 42 inches

Explanation:

Step function: A function on the real numbers is called a step function, if it can be written as a finite linear combination of indicator functions of intervals.

Given the statement: A clothing stores uses the step function f(x) to recommend jeans as a function of x.

To find the height of a child who should wear size 2 jeans.

From the figure:

A child who wear size 2 jeans,

i.e f(x) =2

then,

its height x is between 42 and 44

Therefore, the height of a child who wear size 2 jeans is 42 inches because it cannot be more than 42 but also it cannot be less than 42