what is the range of the function f(x)=12-3x for the domain {-4,-2,0,2,4}?

a. {24,18,12,6,20}
b. {6,12,18,24,30}
c. {-12,-6,0,6,12}
d. {0,6,12,18,24}

Range us {0, 6, 12, 18, 24}.

Step-by-step explanation:

The range of a function is the output values after inputting the domain.

To find these, substitute the values of the domain.

f(x)=12-3x

f(-4) = 12 - 3(-4) = 12 + 12 = 24

f(-2) = 12 -3(-2) = 12 + 6 = 18

f(0) = 12 -3(0) = 12-0 = 12

f(2) = 12 -3(2) = 12-6 = 6

f(4) = 12 -3(4) = 12-12 = 0

The range is {0, 6, 12, 18, 24}.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.