University of Manitoba Graphing Functions Quiz Problems hey, I need you to do this quick and good. It doesn’t have to be typed. Hand written would work too

University of Manitoba Graphing Functions Quiz Problems hey, I need you to do this quick and good. It doesn’t have to be typed. Hand written would work too. MCQ’s doesn’t have to be explained. Unit 5. Functions
UNIT ASSESSMENT
(3 parts)
Part 1. Multiple Choice ( 1 mark each=10 marks)
Identify the choice that best completes the statement or answers the question.
____
3. How many x-intercepts does the exponential function f(x) = (5)x have?
A. 0
B. 1
____
C. 2
D. 3
4. Which of the following is an exponential function?
A. f(x) = x2
B. g(x) = (–1)x
C. h(x) = 17x
D. j(x) = 23 – x
____
6. Determine the minimum of this polynomial function.
A.
B.
C.
D.
0
1
2
3
____
9. Match the following graph with its function.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
A. y = 3(0.5)x
B. y = 2(1.25)x
____
C. y = 0.5(3)x
D. y = 2(0.75)x
10. Determine the y-intercept of the exponential function f(x) =2 3
A.
B.
C.
D.
Part
0
1
2
3
!
.
App. Math 40S
Name_________________
Part 2
Part 2. Long answer ( NO GRAPHING CALCULATOR) . For ANY marks,
explain and show your work! ( 9 marks)
11. Determine the end behavior of the logarithmic function below. Provide your
reasoning.
f(x) = –
log x
( 2 marks)
12. Write an equation for a polynomial function that satisfies the following set of
characteristics: no turning points, starts in quadrant 2 and ends in quadrant 4, y intercept
at -3.
(3 marks)
13. A vehicle was purchased for $15 000. The book value of the vehicle can be modelled
by the exponential function.
Calculate an approximate value of the vehicle 10 years later.
(1 mark)
14. For the function y = 2(0.3)x, determine what are the intercepts, the end behaviour, the
domain and the range.
( 3 marks)
Continue to PART 3 on the NEXT PAGE!
App. Math 40S – Unit 1. Functions
Part 3. Long answer (GRAPHING CALCULATOR) . For ANY marks, explain
and show your work! (16 marks)
15.
a) Find the scatter plot of this data. What type of polynomial function can be used to
model it?
( 2 marks)
b) Determine the regression function equation for this data. ( 2 marks)
c) Determine an estimate for the attendance at the 5th game. ( 2 marks)
d) Determine which game would have an attendance of about 3764. (3 marks)
16. A research lab recorded the radioactive decay of a 38 mg sample of thorium-243. The
data table shows the amount of thorium-243 remaining at the end of each week.
Day
0
7
14
21
28
35
Amount of
Thorium (mg)
38.0
31.0
25.3
20.6
16.7
13.6
a) Determine the exponential equation that models the radioactive decay.
(2 marks)
b) Estimate the amount of thorium-243 remaining after 2 days, to the nearest tenth of a
milligram. Show your work.
(2 marks)
c) Estimate how long it will take for this thorium-243 sample to reach 4.5g. Show your
work.
(3 marks)

Purchase answer to see full
attachment