Grade 10 Step Graphs Worksheet

Explore step functions and their applications through a series of questions including true/false, multiple choice, and graphing exercises.

Grade 10 Math Data and GraphingStep Graphs

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Includes

Multiple ChoiceTrue / FalseFill in the BlanksShort Answer

Standards

CCSS.MATH.CONTENT.HSF.IF.C.7.BCCSS.MATH.CONTENT.HSF.BF.B.3

Topics

step graphsfunctionsgraphingmathgrade 10

6 sections · Free to use · Printable

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Grade 10 Step Graphs Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for graphing problems.

1. Which of the following best describes a step function?

A function whose graph is a straight line.

A function that has a graph resembling steps.

A function that constantly increases.

A function that has a curved graph.

2. The greatest integer function, denoted as f(x) = ⌊x⌋, is an example of a:

Linear function

Quadratic function

Step function

Exponential function

1. A step function is always continuous.

True

False

2. The domain of a step function is typically all real numbers.

True

False

1. A step function is a piecewise function that consists of segments.

2. In a step function, the value of the function remains constant over certain .

1. Graph the function f(x) = ⌈x⌉ (the ceiling function) for -3 ≤ x ≤ 3.

2. A parking garage charges $5 for the first hour and $2 for each additional hour or fraction thereof. Sketch a step graph representing the cost of parking for up to 4 hours.