The following trig ratios

Therefore, the length of YZ = 12

Step-by-step explanation:

As we know that

sin(X) = Opposite ÷ Hypotenuse

cos(X) = Adjacent ÷ Hypotenuse

tan(X) = Opposite ÷ Adjacent

Given the ratios

sin(X) = 12 ÷ 13 = Opposite ÷ Hypotenuse

cos(X) = 5 ÷ 13 = Adjacent ÷ Hypotenuse

tan(X) = 12 ÷ 5 = Opposite ÷ Adjacent

As

tan(X) = Opposite ÷ Adjacent

In the shown diagram,

also  the given ratio is

tan(X) = 12 ÷ 5

so

tan(X) = YZ ÷ XY

          = 12 ÷ 5            ∵ YZ = 12, and XY = 5

Therefore, the length of YZ = 12

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: