Which piecewise function corresponds to this graph? (Take your time). Hint: Try to match the function with the graph. You should know how to graph piecewise functions. You may go back to the slides posted in Google classroom or refer to your notes.

f(x) = { -x+1 if x < 4; x if x ≥ 4

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

State the location of any discontinuities (Select all that apply). Hint: discontinuities refer to the restrictions or exemptions of the x-value/s. Discontinuities happen if there are gaps (meaning jumps, holes or asymptotes) in the graph. There are two answers for this number.

This graph has no discontinuities

Select ALL the statements that are true. Hint: Piecewise Function is kind of different from the regular function in terms of how the intervals are written. For the piecewise function intervals, use [ ] for shaded circles and ( ) for unshaded circles.

The constant interval is [-4, 2]

The interval of increase is [-6, -4]

The interval of decrease is (-9, -6] U (2, ∞)

There is a discontinuity at x = 2

Which statement is FALSE?

The interval of increase is [-1, 2]

-4 is included in the domain, but 4 is not

The interval of decrease is [-4, 0]

The interval of increase is [0, 2]

Characteristics of Piecewise Function

Authored by Hyzel Montebon

Education

10th Grade

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the y intercept?

(0, 5.5)

(5.5, 0)

(-2.1, 0)

(0, -2.1)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the x intercept?

(0, 5.5)

(5.5, 0)

(-2, 0)

(0, -2)

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the DOMAIN?
Hint: Domain is the set of x-values. Be careful when there are restrictions/exemptions of the x-values. This happens when there are gaps (meaning jumps, holes or asymptotes) in the graph.

(-∞, +∞)

(-∞, -1] U [3, +∞)

[-1, +∞)

(-1, 0] U (0, +∞)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Graph the piecewise function. You may use desmos graphing calculator. Type $g\left(x\right)=3x-1\left\{x\ge-1\right\}$ and $g\left(x\right)=-5\ \left\{x<-1\right\}$ . Whenever you graph the function and there are restrictions in the domain, you have to type { }, This is true to all restrictions. Be careful to determine the portions of the graph that have shaded (inclusive) and unshaded (exclusive) points because desmos does not show directly these type of points. For > and < it should be unshaded points while $\ge and\ \le$ should be shaded points.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Select the correct domain for this piecewise function.

$\left[-3,\ 1\right]$

$\left[-12,\ 8\right]$

$\left(-\infty,\ +\infty\right)$

$\left[-6,\ 4\right]$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Select the correct range for this piecewise function.

$\left(-\infty,\ +\infty\right)$

$\left[-12,\ 8\right]$

$\left[-6,\ 4\right]$

$\left[-3,\ 1\right]$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following represents this peicewise graph.
Hint: Try to match the functions with the graph. You should know how to graph piecewise functions. You may go back to the slides posted in Google classroom or refer to your notes.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the domain of the above piecewise function?
Hint: Domain is the set of x-values. Be careful when there are restrictions/exemptions of the x-values. This happens when there are gaps (meaning jumps, holes or asymptotes) in the graph.

$D:\ x=all\ real\ numbers$

$D:\ x\ge2$

$D:\ x\le-1\ or\ x\ge1$

$D:\ y>2$

none of these are correct.

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

State the range of the above piecewise function.
Hint: Range is the set of y-values. Be careful when there are restrictions/exemptions of the y-values.

R: y = All real Numbers

$R:\ y<4\ or\ y\ge1$

$R:\ y<4$

none of these are correct.

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Characteristics of Piecewise Function

What is the y intercept?

What is the x intercept?

What is the DOMAIN?Hint: Domain is the set of x-values. Be careful when there are restrictions/exemptions of the x-values. This happens when there are gaps (meaning jumps, holes or asymptotes) in the graph.

Select the correct domain for this piecewise function.

Select the correct range for this piecewise function.

Which of the following represents this peicewise graph.Hint: Try to match the functions with the graph. You should know how to graph piecewise functions. You may go back to the slides posted in Google classroom or refer to your notes.

What is the domain of the above piecewise function?Hint: Domain is the set of x-values. Be careful when there are restrictions/exemptions of the x-values. This happens when there are gaps (meaning jumps, holes or asymptotes) in the graph.

Which of the following piecewise functions represents the graph above?

State the range of the above piecewise function.Hint: Range is the set of y-values. Be careful when there are restrictions/exemptions of the y-values.

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What is the DOMAIN?
Hint: Domain is the set of x-values. Be careful when there are restrictions/exemptions of the x-values. This happens when there are gaps (meaning jumps, holes or asymptotes) in the graph.

Which of the following represents this peicewise graph.
Hint: Try to match the functions with the graph. You should know how to graph piecewise functions. You may go back to the slides posted in Google classroom or refer to your notes.

What is the domain of the above piecewise function?
Hint: Domain is the set of x-values. Be careful when there are restrictions/exemptions of the x-values. This happens when there are gaps (meaning jumps, holes or asymptotes) in the graph.

State the range of the above piecewise function.
Hint: Range is the set of y-values. Be careful when there are restrictions/exemptions of the y-values.