What does "when x is any real number" mean?

Hey there!

Real numbers include all numbers that are not complex like infinity or square root of negative integers. So, if you've a question where they ask 'when x is any real number' then it refers to all the numbers in a number line ⇨ natural numbers, whole numbers, integers, rational numbers & irrational numbers.

Hope it helps ya!

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: