Functions and Domain in Context

Is the following graph a function?

• Yes, because the x never repeats.

• Yes, because they are individual dots.

• No, because the x repeats.

• No, because it is not a line.

Tags

CCSS.8.F.A.1

What is the Domain?

• y ≥ 6

• -10 ≤ y ≤ 6

• -10 ≤ x ≤ 6

• All real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find the domain of f(x)

• {3,6,7}

• {3,4,7}

• {1,2,5}

• {3,4,8,9}

Tags

CCSS.HSF-BF.A.1B

Find the domain of f(g(x))

• {1,6,7}

• {3,4,7}

• {1,2,5}

• {3,4,8,9}

Tags

CCSS.HSF-BF.A.1B

Find the domain of g(f(x))

• {2,3,5,6,8,9}

• {1,3,5,7,8,}

• {3,6,8,9}

• {1,3,8}

Tags

CCSS.HSF-BF.A.1B

Robert is a stuntman planning to jump off a bicycle ramp and over an array of trucks. He modeled a few relationships. Which of the following composite functions represents the distance of Roberts jump as a function of the height of the ramp?

Tags

CCSS.HSF-BF.A.1C

• The height of a tree as function of its altitude

• The average temperature as a function of the altitude at that location

• The number of birds nesting in a tree as a function of the average temperature at that location

Tags

CCSS.HSF-BF.A.1B

• 0

• 2

• 3

• 7

Tags

CCSS.HSF-BF.A.1C

Bart is gift wrapping cube-shaped boxes for his class fundraiser. He has modeled the following relationships. (See image) Which 2 of the following composed functions make sense in this context

Tags

CCSS.HSF-BF.A.1C