Sketching Graphs of Functions

Does the following graph have a maximum or minimum.

• Maximum

• Minimum

Use the picture to find the vertex and axis of symmetry

• Vertex (3,8) Axis x = 3

• Vertex (3,8) Axis y = 3

• Vertex (8,3) Axis x = 3

• Vertex (8,3) Axis y = 3

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What is the Axis of symmetry?

• Y=3

• y=-3

• x= 3

• x=-3

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

• Solving equations

• Analyzing and sketching graphs

• Calculating averages

• Measuring distances

Is the function increasing or decreasing from 2 < x < 6?

• Increasing

• Decreasing

The graph shows the total distance, in feet, walked by a person as a function of time, in seconds.



​​​​​​Was the person walking faster between 20 and 40 seconds or between 80 and 100 seconds?

• 20 and 40 Seconds

• 80 and 100 Seconds

• A
• B
• C
• D

Is the graph of the equation increasing or decreasing?

• Increasing

• Decreasing

• Neither

Akiko is painting a room in her house. The graph shows the area Akiko has painted as a function of time. Which description is correct?

• For the first 2 hours, Akiko paints very quickly at first, but then slows down

• For 2 < x < 3, Akiko paints at a constant rate

• For 3 < x < 4, Akiko continues painting at a varying rate

• For the last 2 hours, Akiko paints at a constant rate, but much more slowly than earlier in the day