Understanding Functions and Graphs

What is one reason for analyzing graphs?

• Show the relationship between two quantities without using any numbers.

• Calculate the average amount of a quantity using numbers.

• Measure the distance or speed of a person.

• finds the numbers on a graph for you.

What is another good reason for analyzing graphs?

• Make comparisons from similar graphs like the temperature in 2 different cities.

• So you can draw a new graph everyday to find the temperature.

• Calculate the total temperature at the end of every month.

• Find the lowest temperature in Oklahoma.

What does the graph indicate when the line is sloping in a curve upwards?

• Increasing

• Decreasing

• No change (constant)

• Fluctuating

What is the main topic of the lesson in the document?

• Solving equations

• Analyzing and sketching graphs

• Calculating averages

• Measuring distances

What does the y-axis represent in the graph of a stopped subway train then begins to gain speed?

• Time

• Speed

• Distance

• Price

In the context of the subway train graph, what does a horizontal line represent?

• Increasing speed

• Constant speed

• Decreasing speed

• Stopping

In the graph of the airplane's altitude, what does the x-axis represent?

• Altitude

• Distance

• Time

• Speed

Just like the mouse graph, what does a steep line uphill to the right indicate?

• Rapid increase in distance

• Rapid decrease in distance

• Constant distance

• No movement

What is a piecewise function?

• A function defined by a single equation in the form of y=mx+b.

• A function defined by two or more equations that apply to a different part of the domain.

• A function with no domain or missing values.

• A function with only one variable, y.

Evaluate the piecewise function at x = -1?

{ f(x) = 2x + 1 , if x>0 and

{ f(x) = 3x , if x ≤ 0

• -1

• -3

• -1/3

• 0