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Linear Algebra
11.1. – 11.4 Review WS
Name ______________________________
Date _________________
Hour _______
For #1-2, tell whether the relation is a function. Explain.
1. (6, 2), (5, 3), (4, 4), (3, 4), (3, 5), (2, 6)
2.
input
output
-17
1
-22
5
-30
10
0
0
_______________________________________
__________________________________
_______________________________________
__________________________________
For #3-4, write a function rule that relates x and y. Show all steps of your work.
3.
x
-10
-7
-4
-1
y
-15
-10.5
-6
-1.5
Function rule: ___________________
4.
x
-2
0
2
4
y
4
6
8
10
Function rule: ___________________
5. A gray whale calf is nursed back to health with a milk-based
formula. The table shows the total gallons (g) of formula
consumed over the course of (f) feedings.
a. Write a function rule for this situation.
Function rule: ___________________
b. Using the function rule you wrote in part a, calculate how much the whale consumes
in 20 feedings assuming the same pattern continues.
_______________
6. Show your work to determine whether (4, 2) is a solution of 3x + 7y = 24.
7. Is the equation y = 3x2 – 1 linear or non-linear? Explain your reasoning.
_______________________________________________
8.
a. Make a scatter plot of the data.
b. Do x and y have a positive relationship, negative relationship,
or no relationship?
__________________________________________________
c. What conclusions can you make? ___________________________________________
_______________________________________________________________________
For #9-10, list three solutions for each equation.
9. y = -2x + 6
_________
10. y =
1
x – 10
5
_________
_________
_________
________
________
For #11-14, make a table with at least 4 ordered pairs for each equation and then graph
each equation.
11. y = 3x + 2
12. y = -x – 3
13. x = -3
14. y = 1
15. Write -2x – y = 8 in function form.
16. Write 3y – 15 = 9x in function form.
Function form: ___________________
Function form: ___________________
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