Linear Functions 2017 Review – Unit 3A CDA
1. For each mapping below:
a. Write the corresponding ordered pairs.
b. Identify the domain and range.
c. State whether the relation is or is not a function and justify your answer.
Use the graph of the function to answer question 2 and 3
2. Evaluate:
a. f(1)
b. f(-2)
c. f(-4)
3. For what value(s) of x will
a. fx=2
b. fx=-0.5
4. John owns and operates a 50-acre apple orchard. The profit he will make depends on the number of bushels he grows and sells during the season. He sells each bushel for $25, but his operational (planting, irrigating trees, etc.)cost is $3000.
a. Write a function, P(b), to represent the profit John will make by selling b bushels of apples.
b. How many bushels will of apples will John have to sell to begin making a profit?
c. How much profit will John make for selling 150 bushels? 175 bushels?______
d. How many bushels will John have to sell to make a profit of $2375?______$4500?_____
e. Write the domain of P(b) if John made at least one sale.
5. Given the function hx=-5x+7, complete the following table:
input / -3 / ? / 2 / 4 / ?output / ? / 17 / ? / ? / -38
6. Liz and her friend Thomas are collecting food for the local food bank. They already have 225 Kilograms donated by a local grocery store. Their goal is to collect 20 Kilograms per day. Write a function rule that describes the amount of food collected, F, after d days. Use the function to determine the number of days needed to collect 1.785 tons of food. (I t = 1000 kg)
7. 7. Lucy drives at a rate of 50 miles per hour. Write a function that describes the distance, d traveled after h hours of driving.
8. Given gx=9-35x, evaluate g12. Leave your answer as an improper fraction.
9. Graph the function fx= -x-5-1 using the x and y intercepts.
10. What are the x and y intercepts of the function fx=-53x+5. Write your answers as coordinates.
11. The graph below represents distance that a bird is from his nest during a 10-hour period.
(a) What is his average rate of change between hours 2 and 6?
(b) How many stops did the bird make?
(c) Highlight the graph to show where the function is increasing and decreasing. What does the inc/dec represent?
12. Which function has a constant rate of change?
x / y-2 / -27
-1 / -21
0 / -16
1 / -12
2 / 15
x / y
-2 / -37
-1 / -32
0 / 33
1 / 38
2 / 43
x / y
-2 / -42
-1 / -35
0 / -28
1 / -21
2 / -14