Domain and Range for
Linear Functions
Assignment
1. Define the below terms:
Domain:
Range:
2. Given y = 6x – 8, what is the
range when -2 ≤ x ≤ 1?
3.
What is the domain of y = 2x – 1
when the range is 9?
4. Gary has a gift card with $150 on
it. He plans to buy video games
that cost $25 a piece with it. The
function can be represented by
f(g) = 150 – 25g
What is a reasonable domain and
range for the situation?
5. Given f(x) = x2 - 3, what is the
range when 0≤ x ≤ 4?
6. If f(x) = 8x+10, what is the
domain when the range is -6?
7. Daniel owns a swimming pool
that holes 200 gallons. He drains
the pool at a rate of 10 gallons a
minute. What is a reasonable
domain and range for the above
situation?
8.
Given y = 12 – 6x, what is the range
when -1 ≤ x ≤ 3?
9. Given f(x) = 12x – 4, what
is the range when the
domain is -1?
10. What is the range of y = 6x –
4 when the domain is 4?
11. Malik likes to make sandwiches
for lunch every day. The loaf of
bread he has contains 22 pieces of
bread in it. If he makes one
sandwich a day (using 2 pieces of
bread), what would be a
reasonable domain and range for
the situation?
12. What is the slope and y
intercept of 10x – 5y = 25?