Graphing Functions: Day 1 Insights

Mrs. Hayes introduces graphing functions, focusing on linear, absolute value, and quadratic functions. She explains how to use function rules to complete tables of values and plot graphs. The video covers calculating values for each function type and plotting them to visualize the graph's shape, including lines and parabolas.

What are the learning goals mentioned in the introduction?

• Using a function rule to complete a table of values and plot it on a graph

• Solving quadratic equations

• Learning about trigonometric functions

• Understanding the Pythagorean theorem

What is the function rule for the linear function discussed?

• f(x) = 2x + 3

• f(x) = x/2 + 3

• f(x) = |x - 3| - 2

• f(x) = x^2 - 4

What is the y-value when x = -2 for the function f(x) = 2x + 3?

• 7

• 5

• 1

• -1

What shape does the graph of the function f(x) = 2x + 3 resemble?

• An absolute value graph

• A straight line

• A circle

• A parabola

What is the absolute value of -3?

• -3

• 6

• 0

• 3

What is the function rule for the absolute value function discussed?

• f(x) = x^2 - 4

• f(x) = |x - 3| - 2

• f(x) = x/2 + 3

• f(x) = 2x + 3

What is the y-value when x = 2 for the function f(x) = |x - 3| - 2?

• 0

• -1

• 1

• -2

What shape does the graph of the function f(x) = |x - 3| - 2 resemble?

• A circle

• An absolute value graph

• A straight line

• A parabola

What is the function rule for the quadratic function discussed?

• f(x) = 2x + 3

• f(x) = x^2 - 4

• f(x) = |x - 3| - 2

• f(x) = x/2 + 3

What is the y-value when x = 1 for the function f(x) = x^2 - 4?

• -1

• 1

• -3

• 0