The video tutorial explores key features of functions, focusing on graph analysis using Desmos. It covers interval notation, domain, range, intercepts, and graph behavior, including increasing, decreasing, and positive/negative sections. The tutorial also explains relative maxima, minima, zeros, and the average rate of change, providing a comprehensive understanding of function graphs.

What is interval notation used for?

• To find the intercepts of a graph

• To give boundaries for a set of numbers

• To describe the slope of a line

• To determine the average rate of change

Which symbol is used in interval notation to indicate that a number is included?

• Angle brackets

• Parentheses

• Brackets

• Curly braces

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CCSS.6.EE.B.8

What does the domain of a function represent?

• The intercepts of the function

• The x-values of the function

• The y-values of the function

• The slope of the function

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

If a graph extends infinitely to the left, what is the domain notation?

• (-∞, ∞)

• (-∞, 0)

• (-∞, 0]

• [0, ∞)

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CCSS.HSA.REI.D.12

Where does the y-intercept of a function occur?

• Where the graph crosses the x-axis

• Where the graph crosses the y-axis

• At the lowest point of the graph

• At the highest point of the graph

How many x-intercepts does the function in the video have?

• Four

• One

• Two

• Three

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CCSS.HSF-IF.C.7C

What does it mean when a graph is increasing?

• The graph is constant

• The graph is at its maximum

• The graph is moving upwards

• The graph is moving downwards

In which interval is the graph decreasing?

• From negative infinity to -1.155

• From -1.155 to 1.155

• From 1.155 to positive infinity

• From 0 to 2

When is a graph considered positive?

• When it is above the x-axis

• When it is on the x-axis

• When it is on the y-axis

• When it is below the x-axis

Tags

CCSS.HSF-IF.C.7A

What is the average rate of change equivalent to?

• The intercepts of the function

• The domain of the function

• The range of the function

• The slope formula

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6