Unit 4A Quiz Review Connect 4
Decide who will be evens and who will be odds. You should have an answer sheet for the problems you are completing and an answer key for the problems your partner is completing. For every problem you get correct, you get a chip to place where you want. If you get it incorrect, you get no chip.
1. What are some other words for domain? ______
2. What are some other words for range? ______
3. State the domain and range for the given table:
X / 1 / 2 / 4 / 4y / -9 / -5 / -1 / 12
Does this table represent a function? ______
4. State the domain and range for the given table:
X / 1 / 2 / 3 / 4y / -5 / -5 / 6 / 12
Does this table represent a function? ______
Evaluate the functions below for the given values.
f(x) = 2x – 5 h(x) = x2 + 3 j(x) =
5. j(38)
6. f(h(4))
7. f(h(-6))
8. h(-3)
Combine the functions as indicated.
a(x) = -3x + 4 b(x) = 6x2 + 2x – 7 c(x) = 2x
9. a(x)• c(x)
10. a(x) + b(x)
Describe the transformations then state whether it is growth or decay and what the asymptote is.
11. f(x) = 2(3x) – 4 ______
Growth or decay? ______asymptote ______
12. f(x) = 5(4x) + 2 ______
Growth or decay? ______asymptote ______
13. h(x) = ______
Growth or decay? ______asymptote ______
14. r(x) = - ½ (4x) + 5 ______
Growth or decay? ______asymptote ______
State the characteristics of the graph:
15. *graph continues in both directions
y-intercept: ______
x-intercept: ______
asymptote: ______
growth or decay? ______
end behaviors: ______
______
Interval of increase and/or decrease ______
Domain: ______Range: ______
16. *graph continues in both directions
y-intercept: ______
x-intercept: ______
asymptote: ______
growth or decay? ______
end behaviors: ______
Interval of increase and/or decrease ______
Domain: ______Range: ______
17. * There are no arrows on each end. Graph ends at these points.
y-intercept: ______
x-intercept: ______
asymptote: ______
growth or decay? ______
Interval of increase and/or decrease ______
Domain: ______Range: ______
What interval on the graph shows the greatest rate of change? ______
18. * There are no arrows on each end. Graph ends at these points.
y-intercept: ______
x-intercept: ______
asymptote: ______
growth or decay? ______
Interval of increase and/or decrease ______
Domain: ______Range: ______
What interval on the graph shows the greatest rate of change? ______
Write the exponential function of the parent graph given the following transformations:
19. parent function: y = 5x
move 2 left and up 7 ______
20. parent function:
move 2 right, reflect over x, stretch of 4 ______
21. parent function:
shrink of ,reflect over x, down 2 ______
22. parent function:
stretch of 4 , up 5 ______
23. Graph the following by using transformations from the “parent” graph. Graph the “parent” points in pencil and then apply the transformation. Connect new points with curve.
Parent function: Transformed function:
24. Graph the following by using transformations from the “parent” graph. Graph the “parent” points in pencil and then apply the transformation. Connect new points with curve.
Parent function: Transformed function:
25. In Mrs. Stout’s class students are hoarding eraser caps. Olivia and Mackenzie are afraid that they will not have erasers to fix their mistakes on the EOC. Olivia started out with 7 erasers and is now hoarding 5 additional erasers per day. Mackenzie started out with 3 erasers and is now hoarding 7 additional erasers per day.
a. Write a function o(x) to represent the number of erasers that Olivia has hoarded.
b. Write a function m(x) to represent the number of erasers that Mackenzie has hoarded.
c. Combine the two functions into one function to show the total number of erasers hoarded s(x) = o(x) + m(x)
d. Calculate the total number of erasers they have hoarded after 4 days, three weeks, and 45 days.
4 days: ______three weeks: ______45 days:______
26. In Mrs. Stout’s class students are hoarding eraser caps. Olivia and Mackenzie are afraid that they will not have erasers to fix their mistakes on the EOC. Olivia started out with 4 erasers and is now hoarding 6 additional erasers per day. Mackenzie started out with 2 erasers and is now hoarding 8 additional erasers per day.
e. Write a function o(x) to represent the number of erasers that Olivia has hoarded.
f. Write a function m(x) to represent the number of erasers that Mackenzie has hoarded.
g. Combine the two functions into one function to show the total number of erasers hoarded s(x) = o(x) + m(x)
h. Calculate the total number of erasers they have hoarded after 3 days, three weeks, and 45 days.
3 days: ______three weeks: ______45 days:______