Question

Consider the piecewise-defined function.

What is f(6)?


A 6

B 12

C 18

D 26

Answer 1

f(x) = x when 2 ≤ x < 5

So you can use this function if "x" is greater than or equal to 2 and less than 5

f(x) = 2x when 5 ≤ x < 10

You can use this function if "x" is greater than or equal to 5 and less than 10

f(6) This means that x is 6, so you can plug in 6 for "x" in the equation.

You use the second function because 6 is greater than 5 and less than 10

f(x) = 2x

f(6) = 2(6)

f(6) = 12 Your answer is B

Answer 2

B 12

Explanation:

Since f(6) means we want to evaluate the function when x=6

We will want to use f(x) =2x because 5<= 6 <10

f(6) = 2*6

f(6)=12