Graphs of Polynomials Key Terms

What is concavity?

• The distance between two points on a graph.

• The rate at which a graph is increasing or decreasing.

• The angle at which a graph intersects the x-axis.

• Curvature or shape of a graph

What is a point of inflection?

• A point of inflection is a point on a curve where the curve changes concavity.

• A point of inflection is a point on a curve where the curve intersects the x-axis.

• A point of inflection is a point on a curve where the curve changes slope.

• A point of inflection is a point on a curve where the curve changes direction.

Which of the following statements is true about concave down functions?

• Concave down functions have a constant rate of change.

• The statement that is true about concave down functions is that they have a decreasing rate of change.

• Concave down functions have an increasing rate of change.

• Concave down functions have a positive rate of change.

Tags

CCSS.HSF.IF.B.4

Which of the following statements is true about increasing intervals?

• Increasing intervals are characterized by numbers that are getting smaller as the sequence progresses.

• Increasing intervals are characterized by numbers that remain constant as the sequence progresses.

• Increasing intervals are characterized by numbers that are getting larger as the sequence progresses.

• Increasing intervals are characterized by numbers that are randomly changing as the sequence progresses.

How can you determine the concavity of a graph?

• By looking at the slope of the graph.

• By looking at the y-intercept of the graph.

• By looking at the curvature or shape of the graph.

• By looking at the x-intercept of the graph.

What is the characteristic of a function's graph when it is concave up?

• The graph of the function has a decreasing slope.

• The graph of the function has a constant slope.

• The graph of the function has an increasing slope.

• The graph of the function has a random slope.

From the graph of a function, how can you identify the intervals where the function is increasing?

• By looking at the points where the graph is above the x-axis.

• By looking at the points where the graph is below the x-axis.

• By looking at the points where the slope of the graph is positive.

• By looking at the points where the slope of the graph is negative.

How can you identify decreasing intervals on a graph?

• Decreasing intervals are characterized by numbers that are getting larger as the sequence progresses.

• Decreasing intervals are characterized by numbers that remain constant as the sequence progresses.

• Decreasing intervals are characterized by numbers that are getting smaller as the sequence progresses.

• Decreasing intervals are characterized by numbers that are randomly changing as the sequence progresses.

What does the slope of a graph indicate about the intervals?

• The slope indicates the rate at which the graph is increasing or decreasing.

• The slope indicates the curvature or shape of the graph.

• The slope indicates the distance between two points on the graph.

• The slope indicates the angle at which the graph intersects the x-axis.

Tags

CCSS.8.EE.B.5

What does it mean if the graph of a function is decreasing on an interval?

• The function's values are getting smaller as the input values increase within that interval.

• The function's values are getting larger as the input values increase within that interval.

• The function's values are staying the same as the input values increase within that interval.

• The function's values are getting smaller as the input values decrease within that interval.

Tags

CCSS.8.EE.B.5