Piecewise-Defined Functions Characteristics

Which of the following is a characteristic of a piecewise-defined function?

a) It has a single algebraic expression for all values of x.

• it has no graphs

• it has a single algebraic expression for all values of x

• It is definied d by different expressions for different interval of x

• It cannot be graphed

Tags

CCSS.HSF-IF.C.7B

what is the value of f(1)

• -1

• 4

• 0

• 1

Which of the following is true about the graph of a piecewise-defined function?

• It cannot be plotted.

• It is always continuous.

• It can have breaks or jumps.

• It is always a straight line.

What is the answer when f(2)

Which of the following describes the graph of a piecewise-defined function?

• a continuous curve without breaks

• a graph made of multiple segments that possibly have jumps or breaks

• a line with a slope of 2

• circle

Which of the following could represent a discontinuity in a piecewise-defined function?

a) A point where two line segments meet with the same slope.
b) A vertical asymptote.
c) A point where the function is not defined.
d) A jump between the values of two expressions

• a vertical asymptote

• a point where two line segment meet with the same slope

• jump between to values of expression

• a point where the function is not defined

What is f(6)?

• 20
• 33
• 3
• 3, -3

Tags

CCSS.HSF.IF.A.1

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.B.4

CCSS.HSF.IF.C.7

What is the RANGE of the function?

• (-∞, +∞)
• (-∞, 4]
• (-∞, 4)
• [0, 4]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the DOMAIN of the function?

• (-∞, +∞)
• (-∞, 4]
• (-∞, 4)
• [0, 4]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5