Question

A school had $3,000 to spend on technology. They spent $350 on a new projector. The function f(x)=299x+350 gives the total amount of money spent on technology after buying x tablets. If a teacher finds the tablets on sale for $249 each, how will the function change? Select three statements that are true.

AThe y-intercept of the function will not change
b The domain of the function will change from 0≤x≤8 to 0≤x≤10.
cThe range of the function will not change
dThe y-intercept of the function will decrease by $50.
eThe domain of the function will change from 0≤x≤10 to 0≤x≤12.
fThe range of the function will change

Answer 1

The y-intercept of the function will not change.

Explanation:

The given function is:

`f(x)=2x-4`

It is defined on the domain

.

We need to find the range:

The range is the set of output values.

`2\leq x\leq 6`

Multiply 2 on each side.

`4\leq 2x\leq 12`

Subtract 4 from each side.

`4-4\leq 2x-4\leq 12-4`

`0\leq f(x)\leq 8`

`0\leq y\leq 8`

The range of the function is .

Therefore, the correct option is A. The y-intercept of the function will not change.