Functions - A.7a-f

A.7a-f Functions

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A function is a relationship between values where each input (x) has EXACTLY ONE output (y).

• If x-values repeat it is NOT a function

• If a vertical line intersections a graph more than once, it is NOT a function

Multiple Choice

What is a function?

• For every input, there is exactly one output.

• For every output, there is exactly one input.

• When there is a polynomial expression

• When the degree of the polynomial is even.

Multiple Choice

Is this set of ordered pairs a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Does this table represent a function?

• Function

• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is the graph pictured a function?

• Yes

• No

Domain and Range

• Domain is the input-values or x-values

• Range is the output-values or y-values

Multiple Choice

What variable typically represents the range?

• x

• y

Multiple Choice

What variable typically represents the domain?

• x

• y

Multiple Choice

What is the domain?

• {0, 1, 2, 15}

• (0, 1, 2, 3}

• {3, 7, 11, 15}

• {3, 7, 11, 3}

Multiple Choice

What is the range?

• {0, 1, 2, 15}

• (0, 1, 2, 3}

• {3, 7, 11, 15}

• {3, 7, 11, 3}

Multiple Choice

What is the domain?

• {5, 10, 15}

• {(5,2), (5,4), (10,6), (15,8)}

• {2, 4, 6, 8}

• {5, 2, 4, 10, 15}

Multiple Choice

What is the range?

• {5, 10, 15}

• {(5,2), (5,4), (10,6), (15,8)}

• {2, 4, 6, 8}

• {5, 2, 4, 10, 15}

Multiple Choice

What is the domain?

• {1, 2, 3, 4, 5, 6}

• {0, 1, 2, 3, 4, 5, 6}

• {2, 4, 8}

• {-1, 0, 1, 2, 3, 6}

Multiple Choice

What is the range?

• {1, 2, 3, 4, 5, 6}

• {0, 1, 2, 3, 4, 5, 6}

• {2, 4, 8}

• {-1, 0, 1, 2, 3, 6}

Continuous Graphs

• To find the DOMAIN go from the furthest point left to the furthest point right on the x - axis.

• To find the RANGE go from the lowest point to the highest point on the y - axis.

Multiple Choice

What is the domain in Interval notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• -2 ≤ x ≤ 2

• 4 ≥ y ≥ -4

Multiple Choice

What is the RANGE?

• all real numbers
• [1, ∞)
• (-∞, 1]
• none of these

Multiple Choice

What is the RANGE?

• (-∞, 0)
• (0, ∞)
• All real numbers
• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the DOMAIN?

• (4, ∞)
• (-4, ∞)
• [-3, 3)
• (-3, 3]

Multiple Choice

What is the RANGE?

• {-3, 3]
• all real numbers
• [-4, 5]
• [-4, ∞)

X and Y Intercepts

• The x-intercept is where the function crosses the x-axis, the y-value always equals zero, (0, #). This is also called the zero, solution, or root.

• The y-intercept is where the function crosses the y-axis, the x value always equals 0, (#, 0).

Multiple Choice

Which ordered pair could represent the x-intercept of a function.

• (0, 4)
• (4, 4)
• (4, 0)
• None of these.

Multiple Choice

What is the x-intercept for the given graph?

• 1
• -2
• 2
• 1/2

Multiple Choice

Give the y-interecept
5x + y = 5

• (1,0)
• (0,5)
• (5,0)
• (0,1)

Multiple Choice

What is the y-intercept?

• -1
• 3
• -3
• -2

Multiple Choice

For the g(x) = 5x + 10, what is the zero of the function?

• 5

• 10

• 2

• -2

• -10

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D