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M10C Unit 4: Functions and Relations Mid Unit Assignment

1. Suggest a real-life scenario for each graph below. (1 mark each)

Graph A: ……………………………………………………………………………………………

………………………………………………………………………………………………………

Graph B: ……………………………………………………………………………………………

………………………………………………………………………………………………………

Graph C: ……………………………………………………………………………………………

………………………………………………………………………………………………………

Graph D: ……………………………………………………………………………………………

………………………………………………………………………………………………………

2. For each scenario, draw a graph that could represent the activity in relation to time. Label the axes and provide a scale, if possible. (1 mark each)

a) Eating a bowl of cereal for breakfast.b) reading a novel from start to finish.c) washing a load of laundry.d) flying from Calgary to Edmonton.

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Name: ______

Date: ______

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3. Convert the relation to a set of ordered pairs and a graph. (2 marks)

Ordered Pairs: …………………………………….

……………………………………..

4. a) Convert the relation to an equation and a table with four pairs of values. (2 marks each)

i) the cost of buying concert tickets priced at $23.00 each.

ii) two positive numbers whose product is 24. (Hint: don’t forget decimal numbers.)

b) Is each relation above discrete or continuous? Explain. (2 marks)

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Equation

Equation

x 2 3 5 8 12 y 0 2 4 6 8

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5. Determine whether each relation described below is linear. Explain how you know. (1 mark for linear/non-linear, 1 mark for explanation)

………………………………………………………………………………………………………

…………………

………………………………………………………………………………………………………

…………………

6. a) Determine if each formula is linear or non-linear by representing it in any of the other forms of a relation. (1 mark each)

b) State the dependant and independent variable in each formula. (1 mark each)

i) the area, A, of a circle with radius r is A = πr2.

ii) the perimeter, P, of an equilateral triangle with side s is P = 3s.

iii) the number of diagonals, d, of a polygon with n sides is d=n (n−3)

2.

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x -3 -2 -1 0 1 2 3 y 6 2 0 0 2 6 12

x -3 -2 -1 0 1 2 3 y -5 -3 -1 1 3 5 7

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7. For each relation, state the domain and range in the method indicated. (1 mark each)

a) List: buying less than 5 cans of soup that cost $0.38 each.

b) Set Notation: the squares of the numbers 1 through 10

c) Interval Notation: d) Set Notation:

8. Express the domain and range of each relation as a number line, in interval notation and in set notation. (3 marks each)

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Bonus Question: Answer only ONE!!!Fair Bonus Question: what is the unofficial name for the { symbol?Unfair Bonus Question: how do you fish for Catfish in the deep south?

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