AnswersINMT2 Integrated Math 2 Sem 1 26-27Step Functions

Step Functions Answers

2 verified answers2 views
1
Free Preview

What is the domain of the step function f(x) = ⌈2x⌉ – 1?

A
{x| x ≥ –1}
B
{x| x ≥ 1}
C
{x| x is an integer}
D
{x| x is a real number}
2
Free Preview

An office supply store offers banner printing services. The store charges $4 to print each one-foot-long section of a banner that is three feet tall. Which graph represents the cost to print a three-foot-tall banner that is x feet long?

A
Option
B
Option
C
Option
D
Option
3

The graph represents f(x) = .

Question illustration
A
-2
B
0
C
1
D
2
4

The step function f(x) is graphed.

Question illustration
A
-3
B
-1
C
0
D
1
5

A clothing store uses the step function f(x) to recommend jeans sizes as a function of x, a child’s height in inches.f(x) = According to the function, which is the height of a child who should wear size 2 jeans?

Question illustration
A
41.9 inches
B
42 inches
C
44 inches
D
44.1 inches
6

A step function h(x) is represented by y = –2⌊x⌋. Which phrase best describes the range of the function h(x)?

A
all real numbers
B
all rational numbers
C
all negative integers
D
all even integers
7

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?

A
5
B
5.50
C
5.75
D
6
8

The graph represents y = ⌈x⌉ + 1.

Question illustration
A
–5
B
–4
C
–2
D
–1
9

Which is the graph of the step function f(x)?f(x) =

Question illustration
A
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 3, negative 1) and continues horizontally to an open circle at (negative 1, negative 1). The second line has a closed circle at (negative 1, 0) and continues horizontally to a closed circle at (1, 0). The third line has an open circle at (1, 1) and continues horizontally to an open circle at (3, 1).
Option A
B
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 1, negative 1) and continues horizontally to the left at y = negative 1. The second line has a closed circle at (negative 1, 0) and continues horizontally to a closed circle at (1, 0). The third line has an open circle at (1, 1) and continues horizontally to the right at y = 1.
Option B
C
On a coordinate plane, a piecewise function has 3 lines. The first line has a closed circle at (negative 1, negative 1) and continues horizontally to the left at y = negative 1. The second line has an open circle at (negative 1, 0) and continues horizontally to an open circle at (1, 0). The third line has a closed circle at (1, 1) and continues horizontally to the right at y = 1.
Option C
D
On a coordinate plane, a piecewise function has 3 lines. The first line has an open circle at (negative 3, negative 1) and continues horizontally to an open circle at (negative 1, negative 1). The second line has an open circle at (negative 1, 0) and continues horizontally to an open circle at (1, 0). The third line has an open circle at (1, 1) and continues horizontally to an open circle at (3, 1).
Option D
10

All points of the step function f(x) are graphed.

Question illustration
A
{x| –4 < x ≤ 4}
B
{x| –3 < x ≤ 4}
C
{x| 1 < x ≤ 4}
D
{x| 2 < x ≤ 4}

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Step Functions

Quiz
8 verified answers

Step Functions

Quiz
8 verified answers

Linear Piecewise Defined Functions