Question

Which of the following functions are linear? Select all that apply. A The function that assigns to each number e the value 9.2². 3. B The function that assigns to each positive number x the value - c The function that assigns to each positive number x the value 5V 2r. The function that assigns to each number x the value 72. 1 The function that assigns to each number = the value - X. E The function that assigns to each number 2 the value x 8.

Answer 1

D, E and F

Step-by-step explanation

Linear functions have the form:

`y=ax+b`

Where a can be a whole number or a fraction. It can be negative or positive. The same for b and also b can be zero:

`D)7x\rightarrow a=7,b=0`
`E)(1)/(4)x\rightarrow a=(1)/(4),b=0`
`F)x+8\rightarrow a=1,b=8`

In the other options x is to the power of 2 (in option A), or to the power of -1 (option B) or to the power 1/2 (option C). To be a linear function, x has to have a power of 1.