Interpreting Graphs of Functions in Algebra I

The video tutorial covers interpreting graphs and functions, focusing on vocabulary and concepts such as positive and negative functions, increasing and decreasing functions, relative maxima and minima, and end behavior. It explains how to identify where a function is positive or negative, how to determine if a function is increasing or decreasing, and how to recognize relative maxima and minima. The tutorial also discusses the end behavior of functions as they approach positive or negative infinity.

What is the primary focus of section 1.8 in interpreting graphs and functions?

• Solving equations

• Understanding vocabulary and definitions

• Learning about derivatives

• Graphing complex functions

Tags

CCSS.HSF.IF.B.4

When is a function considered positive?

• When its slope is positive

• When its y-values are positive

• When its x-values are positive

• When it crosses the x-axis

Tags

CCSS.HSF.LE.B.5

Where is a function negative?

• Above the x-axis

• At the origin

• Below the x-axis

• On the y-axis

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What does it mean when a function is increasing?

• The function's slope is zero

• The function's y-values are increasing

• The function's x-values are decreasing

• The function's y-values are decreasing

How do you determine if a function is decreasing?

• By checking if the x-values are increasing

• By checking if the slope is negative

• By checking if the slope is positive

• By checking if the y-values are increasing

What is a relative minimum?

• A point where the function changes from decreasing to increasing

• A point where the function changes from increasing to decreasing

• A point where the function is always increasing

• A point where the function is always decreasing

What is a relative maximum?

• A point where the function changes from increasing to decreasing

• A point where the function changes from decreasing to increasing

• A point where the function is always increasing

• A point where the function is always decreasing

What does end behavior of a function describe?

• The behavior of the function at its maximum points

• The behavior of the function at its minimum points

• The behavior of the function as it approaches positive and negative infinity

• The behavior of the function at the origin

As x approaches negative infinity, what happens to the function if it is going down?

• The function approaches negative infinity

• The function approaches zero

• The function remains constant

• The function approaches positive infinity

As x approaches positive infinity, what happens to the function if it is going up?

• The function approaches positive infinity

• The function remains constant

• The function approaches zero

• The function approaches negative infinity