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In this lesson, we will learn how to recognize functions from schematic descriptions, arrow diagrams, and graphs.

Q1:

Does the given graph represent a function?

Q2:

Q3:

Q4:

Q5:

Q6:

Q7:

Q8:

Q9:

Q10:

Q11:

Q12:

Q13:

If π is a function from the set π to the set π , what do we call π ?

Q14:

Determine whether the following statement is true or false: The shown figure represents a function.

Q15:

If π = { β 6 , β 9 , 0 , 2 } , which of the following arrow diagrams represents a function on the set π ?

Q16:

Let π = β and π = β . Which of the following properties is true of the relation between π and π given by π¦ = π₯ 3 2 , where π₯ β π and π¦ β π ?

Q17:

If π = { 5 , 3 , 6 } , π ( π ) = 4 , and the function π βΆ π β π , where π ( π₯ ) = π₯ β 2 π₯ + 5 2 , which of the sets below can be a representation of π ?

Q18:

Fady believes that setting equal to the digit before the decimal point in the decimal expansion of , for each real number, defines a function from the real numbers to the set of digits . Since and are both decimal expansions of the real number 1, what does that say about ?

Q19:

Can the equation π₯ + π¦ = 4 2 2 be expressed as a function? If yes, state the function.

Q20:

For two sets π and π , a function π exists from π to π . Also, π β π , π β π , and π π π means π is a multiple of π . If π βͺ π = { 2 , 6 , 7 , 3 5 } , π ( π ) = 4 , and π ( π ) = 2 , determine π .

Q21:

For two sets π and π , a function π exists from π to π . Also, π β π , π β π , and π π π means π is a multiple of π . If π βͺ π = { 4 , 5 , 8 , 1 0 } , π ( π ) = 4 , and π ( π ) = 2 , which of the following definitions of π and π are correct?

Q22:

What is a function?

Q23:

For two sets π and π , a function π exists from π to π . Also, π β π , π β π , and π π π means π is divisible by π . If π βͺ π = { 4 , 6 , 7 , 8 , 1 8 , 2 1 , 2 9 } , π ( π ) = 3 , and π ( π Γ π ) = 1 2 , find π and π .

Q24:

Given that π₯ and π¦ are variables, determine whether π ( π₯ ) = 4 ( π¦ ) is a function, and if it is, state which equation is equivalent to it.

Q25:

Which of the following equations are NOT functions of π₯ ?

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