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mcf3m Practice Final Exam

This document contains a practice exam for a math course. It has 24 multi-part questions covering topics like functions, algebra, trigonometry, graphing, and modeling real-world scenarios. The questions involve skills like identifying functions, solving equations, factoring, finding intercepts and vertices of quadratics, calculating rates of change, and modeling linear and non-linear relationships between variables.

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372 views8 pages

mcf3m Practice Final Exam

This document contains a practice exam for a math course. It has 24 multi-part questions covering topics like functions, algebra, trigonometry, graphing, and modeling real-world scenarios. The questions involve skills like identifying functions, solving equations, factoring, finding intercepts and vertices of quadratics, calculating rates of change, and modeling linear and non-linear relationships between variables.

Uploaded by

Mary
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
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MCF3M Practice Exam Page 1 of 6

PART A Short Answer

1. Identify the following types of functions, giving the range and domain of
each. Assume that the function extends to infinity and the given scale is 1
to 1. Also give one real-world example of each type of function. Your
example does not need to fit the data – only the general type of function.

I II

III IV

Function Type Domain Range Example


or Name

II

III

IV
2. Calculate first and second differences and
identify the type of function x y

1 -5

2 -4

3 -1

4 4

5 11

3. Write as a single power.

4. Identify each of the following as a function or non-function.


x y a) b)
-1 0
0 1 y

1 1 2

2 2
3 2 x

-2 2

-2

5. Give the following domain in set notation.

-4 -2 0 2 4 6

6. Given , find

7. Factor fully 2x2 – 2x - 24.


MCF3M Practice Exam Page 3 of 6

8. State the zeros of

9. State the range of

10. Find 14% of $325.

11. Find ϴ to the nearest degree if sin(ϴ) = 0.25

12. Solve for x in the triangle.

13. The algebra tiles area model represents a quadratic


where is positive and is negative.

Write the equation of the quadratic in;


a) standard form

b) factored form.
14. Sketch the graph of . 15. Sketch the graph of .

y y

x x

16. Find the number of real roots of g(x) = – 4x2 + 5x – 3

PART B Long Answer

17. Given h(x) = x2 + 5x – 24, find the


a) y-intercept

b) zeros
MCF3M Practice Exam Page 5 of 6

c) vertex

18. Find the equation of the quadratic functions that has zeros of -1 and 5 and
passes through the point (-3, -32).
19. The following table shows the depth of glacier ice over time. If this trend continues,

a) Find the depth at 7 years.


Time(years) Depth(m)
0 95
1 76
b) Find the equation of the function. 2 61
3 49
4 40
5 31
6 25
7

20. The following chart shows the number of daylight hours on the 21 st day of
each month for a one year cycle.

Month Mar Apr May Jun Jul Aug Sep Oct Nov Dec Jan Feb
Hours 12.2 13.7 14.9 15.4 14.9 13.7 12.2 10.8 9.5 9.0 9.5 10.8

a) Plot the points and draw the line of best fit.

b) Find an equation to model the data.


MCF3M Practice Exam Page 7 of 6

21. Given triangle ABC, where b = 15, c = 12 and angle A = 28°, find side length a.

22. Sketch y = 3sin (x) + 1 for one cycle.


y

23. Mr Bawa has to account options to deposit his $10000 to try to make some
money. Option A is 6%/a compounded annually and Option B is 6%/a
compounded monthly. Which is the better option for him.
24. A bacteria culture doubles every 5 hours.
a) Write the equation of the growth function if there are 500 bacteria to start.

b) How many bacteria will there be after 20 hours?

c) When will there be one million bacteria?

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