Math 2 SR Day 1

Math 2 SR Day 1

By Lori Meadows

• set of ordered pairs

• x values cannot repeat​

​Functions

• set of ordered pairs

• example:​

​{(1, -2), (2, 3), (3, -4), (9, 7)}

​Relations

Basics

Review

• Range

• Output

• Dependent​

y value

• Domain

• Input​

• Independent

x value​

Ordered Pairs (x, y)

Review

​The vertical line does not intersect the graph more than once.

​​Function

The vertical line intersects the graph more than once.

Not a Function

​Vertical Line Test

Multiple Select

Select the answer choices representing functions.

Multiple Select

Select the answer choices representing functions.

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​Domain?

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Range?​

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​​Function? Y/N

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​Domain? (-8, -3, -1, 0, 3, 5, 6)

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Range?​ (-7, -3, -2, -1, 4, 6)

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​​Function? Yes

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​Domain?

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Range?​

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​​Function? Y/N

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​Domain? (6, 8, 10, 17)

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Range?​ (-14, -9, -5, 3, 4)

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​​Function? No

​

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​Domain?

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Range?​

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​​Function? Y/N

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​Domain? (-20, -15, -13, -12, -6)

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Range?​ (-1, 2, 3, 5, 8, 9)

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​​Function? Yes

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​

​Domain?

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Range?​

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​​Function? Y/N

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​Domain? (-16, -6, 2, 8, 10)

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Range?​ (-7, 3, 5, 7, 11, 15)

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​​Function? No

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​Domain?

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Range?​

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​​Function? Y/N

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​Domain? [-2, ∞)

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Range?​ [1, ∞)​

​​Function? Yes

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​Domain? [-10, -2]

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Range?​ [3, 18]

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​​Function? Yes

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Function Values

​Substitute the value in for x.

​f(x) = x²​ + 3x - 4

​To find f(-2), replace each x with (-2).​ Then simplify.

f(-2) = (-2)²​ + 3(-2) - 4

f(-2) = 4 - 6 - 6

f(-2) = - 8​

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​

​

Review

Fill in the Blank

Find $$f\left(3\right)$$  when $$f\left(x\right)=2x^2-3x+8$$  

Fill in the Blank

Find $$f\left(-1\right)$$  when $$f\left(x\right)=x^3+3x^2-x$$