Piecewise Review

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

What is m(-3)+2m(4)+3m(-4) if:

• 7

• 15

• 3

• -3.5

Tags

CCSS.HSF.IF.A.2

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4
• f(x) = { x  if x ≤ 4;  -x+1  if x > 4
• f(x) = { -x+1  if x < 4;  x  if x ≥ 4
• f(x) = { -x+1  if x ≤ 4;  x if x > 4

Tags

CCSS.HSF-IF.C.7B

What is g(7) if:

• -17
• -13 
• 13       
• 17

Tags

CCSS.HSF.IF.A.2

What is the range?

• -7 ≤ y ≤ 5
• -9 ≤ y ≤ 3
• -5.5 ≤ y ≤ -0.5
• -∞ ≤ y ≤ 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find f(2)

• f(2) = 0

• f(2) = 1

• f(2) = 3

• f(2) = 4

Tags

CCSS.HSF.IF.A.2

Find f(2)

• 3

• -2

• 2

• infinite outputs

Tags

CCSS.HSF.IF.A.2

What is the domain of the for the following piecewise function?

• $\left(-\infty,\ +\infty\right)$

• $\left[-6,\ +\infty\right)$

• $\left(-\infty,-5\right)\cup\left[-3,\ +\infty\right)$

• $\left[-5,\ 3\right)$

Tags

CCSS.HSF-IF.C.7B

Which of the 3 piecewise equations is depicted by the graph? (Take your time!) (Hint: think about everything you know about graphs and how they should behave)

• f(x)

• g(x)

• h(x)

Tags

CCSS.HSF-IF.C.7B

• (1/3)x if {x<-3}

  x² - 4 if {-3≤x<1}

  √x if {x≥1}

• (1/3)x +3 if {x<-4}

  x² - 4 if {-4≤x<4}

  √x if {x≥0}

• (1/3)x +2 if {x<-3}

  x² - 4 if {-3≤x<1}

• (2/3)x +2 if {x<-5}

  x² - 4 if {-3≤x<1}

  √x if {x≥1}

Tags

CCSS.HSF-IF.C.7B