All x values, from left to right.

All y values, from bottom to top.

All x values from bottom to top.

All y values from left to right.

All y values, from bottom to top.

All x values, from left to right.

All y values, from left to right.

All x values, from bottom to top.

Which equation is equivalent to the absolute value function graphed?

f ( x ) = ∣ x ∣ + 5 f\left(x\right)=\left|x\right|+5 f ( x ) = ∣ x ∣ + 5

f ( x ) = − ∣ x ∣ + 3 f\left(x\right)=-\left|x\right|+3 f ( x ) = − ∣ x ∣ + 3

f ( x ) = ∣ x ∣ − 3 f\left(x\right)=\left|x\right|-3 f ( x ) = ∣ x ∣ − 3

f ( x ) = ∣ x ∣ + 12 f\left(x\right)=\left|x\right|+12 f ( x ) = ∣ x ∣ + 1 2

Which equation is equivalent to the absolute value function graphed?

f ( x ) = − ∣ x ∣ + 1.5 f\left(x\right)=-\left|x\right|+1.5 f ( x ) = − ∣ x ∣ + 1 . 5

f ( x ) = ∣ x ∣ + 0.5 f\left(x\right)=\left|x\right|+0.5 f ( x ) = ∣ x ∣ + 0 . 5

f ( x ) = ∣ x ∣ + 3.5 f\left(x\right)=\left|x\right|+3.5 f ( x ) = ∣ x ∣ + 3 . 5

f ( x ) = − ∣ 1.5 x ∣ f\left(x\right)=-\left|1.5x\right| f ( x ) = − ∣ 1 . 5 x ∣

What is the vertex of the graph?

( 1 , − 3 ) \left(1,\ -3\right) ( 1 , − 3 )

( − 1 , 3 ) \left(-1,\ 3\right) ( − 1 , 3 )

( − 1 , − 3 ) \left(-1,\ -3\right) ( − 1 , − 3 )

( 1 , 3 ) \left(1,\ 3\right) ( 1 , 3 )

What is the vertex of the given equation? f ( x ) = ∣ x + 5 ∣ − 9 f\left(x\right)=\left|x+5\right|-9 f ( x ) = ∣ x + 5 ∣ − 9

( − 5 , − 9 ) \left(-5,\ -9\right) ( − 5 , − 9 )

( 5 , − 9 ) \left(5,\ -9\right) ( 5 , − 9 )

( − 5 , 9 ) \left(-5,\ 9\right) ( − 5 , 9 )

( 5 , 9 ) \left(5,\ 9\right) ( 5 , 9 )

Is the a-value positive or negative for this absolute value function?

Its neither positive or negative.

Not enough information is given.

Describe the end behavior of the graph.

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

x → -∞, f(x) → ∞ and x→∞, f(x) →∞

x → -∞, f(x) → ∞ and x→∞, f(x) → 0

Describe the end behavior of the graph.

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞, y→∞ and x→⁻∞, y→0

x →∞,y→∞ and x→⁻∞, y→⁻∞

Describe the end behavior of the graph.

x →∞, y→∞ and x→⁻∞, y→0

x →∞, y→∞ and x→∞, y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞,y→0 and x→∞, y→⁻∞

Describe the end behavior of the graph.

x →∞,y→2 and x→⁻∞, y→∞

x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

x →∞, y→∞ and x→⁻∞, y→∞

x →∞, y→∞ and x→⁻∞, y→2

What is the domain of this graph?

x ϵ ( − ∞ , + ∞ ) x\ \epsilon\ \left(-\infty,+\infty\right) x ϵ ( − ∞ , + ∞ )

x ϵ ( − ∞ , 4 ) x\ \epsilon\ \left(-\infty,\ 4\right) x ϵ ( − ∞ , 4 )

x ϵ ( − ∞ , − 2 ) x\ \epsilon\ \left(-\infty,\ -2\right) x ϵ ( − ∞ , − 2 )

x ϵ ( − 2 , + ∞ ) x\ \epsilon\ \left(-2,+\infty\right) x ϵ ( − 2 , + ∞ )

What is the range of this graph?

y ϵ ( − ∞ , 4 ] y\ \epsilon\ \left(-\infty,\ 4\right] y ϵ ( − ∞ , 4 ]

y ϵ ( − ∞ , + ∞ ) y\ \epsilon\ \left(-\infty,+\infty\right) y ϵ ( − ∞ , + ∞ )

y ϵ ( − ∞ , 4 ) y\ \epsilon\ \left(-\infty,\ 4\right) y ϵ ( − ∞ , 4 )

y ϵ ( − 2 , + ∞ ) y\ \epsilon\ \left(-2,+\infty\right) y ϵ ( − 2 , + ∞ )

Parent Functions

Authored by Jay Stevens

Mathematics

10th - 12th Grade

CCSS covered

Used 4+ times

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42 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which parent function matches the graph?

y = |x|

y = ∛(x)

y = x²

y = a⋅b^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSA.CED.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What type of function is shown?

linear

quadratic

square root

absolute value

Tags

CCSS.HSA.REI.D.10

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which parent function matches the graph?

f(x) = x

f(x)= x²

f(x) = |x|

f(x) = ab^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which parent function matches the graph?

f(x) = x

f(x)= x²

f(x) = |x|

f(x) = ab^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What type of function is shown?

exponential

linear

quadratic

square root

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What type of function is shown?

Exponential

square root

quadratic

cube root

Tags

CCSS.HSF-IF.C.7B

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which parent function matches the graph?

f(x) = x

f(x) = x²

f(x) =√(x)

f(x) =∛(x)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

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Parent Functions

Which parent function matches the graph?

What type of function is shown?

Which parent function matches the graph?

Which parent function matches the graph?

What type of function is shown?

What type of function is shown?

Which parent function matches the graph?

Which parent function matches the graph?

Which parent function matches the graph?

Match the equation to its description.

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