Exploring Graphing Functions in Algebra

The video tutorial covers graphing functions, starting with an introduction to graphing with limited domains and extending to all real numbers. It explains how to graph functions by finding ordered pairs and discusses the importance of verifying graph accuracy. The tutorial also explores real-world applications, such as predicting sea level rise and estimating distances. The lesson concludes with a quiz to reinforce learning.

What is the approximate rate at which sea level is rising per year?

• 4.5 millimeters

• 2.5 millimeters

• 1.5 millimeters

• 3.5 millimeters

What is the first step in graphing a function given a limited domain?

• Find the range

• Solve for y using given x values

• Draw the graph

• Identify the function type

When graphing a function with a limited domain, should you connect the dots?

• No, never

• Only if the function is continuous

• Yes, always

• Only if the domain is discrete

How many points are needed to graph a linear function?

• Four

• Two

• Three

• One

What does the absolute value function do to the input values?

• Makes them positive

• Squares them

• Makes them negative

• Divides them by two

How can you check if your graph is correct?

• By re-drawing the graph

• By plotting an additional point

• By comparing with a friend's graph

• By using a calculator

In real-world situations, why might you need to limit the domain?

• To avoid negative values

• To make calculations easier

• To use fewer points

• To simplify the graph

When graphing the function y = 3.5x for a mouse running, which quadrant will the graph be in?

• Quadrant III

• Quadrant II

• Quadrant IV

• Quadrant I

What is a good starting value to use when graphing a function?

• 2

• 0

• 1

• Any negative number

If a mouse runs for 2.5 seconds, approximately how many meters will it cover according to the function y = 3.5x?

• 10 meters

• 8.75 meters

• 7 meters

• 5 meters