Graphing Functions: Key Concepts and Techniques

The video tutorial covers graphing five types of functions: linear, quadratic, exponential, absolute value, and square root. It explains how to use tables of values to plot points and draw graphs, emphasizing the characteristics of each function type, such as the linear function's slope and y-intercept, the V-shape of absolute value graphs, the U-shape of quadratic graphs, the asymptotic behavior of exponential graphs, and the endpoint of square root graphs.

Which of the following is NOT one of the five types of functions mentioned in the introduction?

• Linear

• Exponential

• Cubic

• Square Root

What is the y-intercept of the linear function y = 2x - 3?

• -3

• 3

• 0

• 2

How do you identify a linear function from its equation?

• The variable is not raised to a power

• The variable is in the exponent

• The variable is squared

• The variable is under a square root

What shape does the graph of an absolute value function typically have?

• U-shape

• V-shape

• L-shape

• S-shape

What is the vertex of the absolute value function y = |x - 2| - 2?

• (2, -2)

• (0, -2)

• (-2, 2)

• (2, 2)

What is the general shape of a quadratic function's graph?

• S-shape

• U-shape

• L-shape

• V-shape

In the quadratic function y = (x + 3)^2 - 4, what is the y-value when x = -3?

• 0

• -4

• -3

• 4

What is the horizontal asymptote of the exponential function y = 2^x?

• y = 1

• x = 1

• x = 0

• y = 0

What is the y-value of the square root function y = √x - 3 when x = 9?

• 0

• 3

• -3

• 6

Which end of the square root function graph typically has a closed endpoint?

• Bottom side

• Top side

• Right side

• Left side