RELATIONS & FUNCTIONS
Foundations of Mathematics 10
~SUBMISSION 5~
Be sure to show your WORK for all circled questions
1. Factor completely 8×2 – 8x + 2
___________________
2. Which of the following is not a function?
A.
B
C.
7. What is the domain
and range of the
relation shown on the
graph?
Domain __________
Range__________
D.
E.
_______
3. Which of the following graphs does not
represent a function?
______
A.
C.
B.
.
8. Find the value of f(3) if f(x) = 2×3 – 4×2 + x
_______
9. If f(x) = 3x – 2 and P(x) = x + 3, find f(0) – P(1)
_______
10. Slope of y = –2 is ?
m = _______
x = 4 is ?
m = _______
11. Which table of values should be used to graph
the equation y = 4x – 3
A. x | 0 2 -1
B. x | 0 2 -1 C. x | 0 2 -1
y | -3 5 -7
y | -3 6 -7
y | -3 5 -8
D.
D. x | 0 2 -1
y | 3 -2 -7
12. Solve 4. What is the domain
and range of the
function graphed
at right?
A. y > 1 or y < –1
B. x > 2 or x < –1
C. x > 2 or x < –2
D. y > 2 or y < –2
E. x > 2 or x < –1
E. x | 0 2 -1
y | -3 5 -1
_______
2
5
= ,
3m
4
m = _______
13. Perpendicular lines have slopes
4m
2
and . Find m.
m = _______
5
3
2
1
14. Parallel lines have slopes and
. k = ___
3
4k
Domain is ____ Range is ____
5. Solve 3x – (-x + 2) = 10 – 7x
x = _____
6. Solve 0.3x – 4 = 0.5x + 8
x = _____
15 . Write 3√7 as an entire radical.
_______
16. Write 3 m 5 in exponential form.
_______
17. Write y
5
7
in radical form.
I verify that this Submission page has been completed by ______________________________
_______
without assistance.
Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________
BONUS QUESTIONS (Optional) – 5 marks
1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!)
ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENT
Question 1 (No work required, only the graph!)
Sketch a graph which has domain -3 < x < 1 and
range -2 < y < 0.
Question 2 (No work required, only the graph!)
The diagram shows the route that Rosa travelled from her home H, when she took her dog for a walk.
Sketch a graph of Rosa’s distance from home (walking distance) versus time for the walk. (Rosa and
her dog walk at a steady rate of 4 km/hr). Place Time on horizontal axis, Distance on vertical axis.
Question 3
A jewellery store owner hired three watchmen to guard his store, but a thief still got in and stole his
diamonds. The thief met each watchman on the way out, one at a time. He gave each1/2 of the
diamonds he had then, and 2 more besides. He escaped with one diamond. How many did he steal
originally?
ANSWER _________
Question 4
The total weight of a tin and the brownies it contains is 2 pounds. After ¾ of the brownies are eaten,
the tin and the remaining brownies weigh 0.8 pounds. What is the weight of the empty tin in pounds?
ANSWER _________
Question 5
The rectangle at right has perimeter 26. The semi-circle with diameter AD has an area of 8π. What is
the perimeter of the part of the figure that is not shaded?
(Round answer to 1 decimal place)
ANSWER _________