Key Features of Unit 2 - Lesson Video 6

This video tutorial covers key features of functions, including solving problems related to function values, analyzing graphs for minimum and maximum values, and understanding the axis of symmetry and domain. It introduces parent functions, such as linear, absolute value, quadratic, cubic, square root, cube root, and exponential functions, providing insights into their characteristics and graphing techniques.

What is the value of f(4) for the given function?

• 3

• 2

• 1

• 0

For what values of x does f(x) equal -2?

• x = 1 and x = 3

• x = 2 and x = 4

• x = -1 and x = 3

• x = -2 and x = 4

What is the maximum value of the function?

• 3

• 4

• 6

• 5

Is x = 5 in the domain of the function?

• Yes

• No

• Sometimes

• Not enough information

What is the range of the function in inequality notation?

• -5 ≤ y ≤ 4

• -4 ≤ y ≤ 5

• -4 ≤ y ≤ 6

• -5 ≤ y ≤ 6

What type of function is represented by f(x) = |x|?

• Linear

• Quadratic

• Cubic

• Absolute Value

What shape does the graph of a quadratic function form?

• V-shape

• U-shape

• Line

• Curve

What is the value of (-2)^3?

• -8

• 8

• -4

• 4

Why can't we take the square root of a negative number in this context?

• It results in an undefined value

• It results in a complex number

• It results in zero

• It results in a positive number

What is the value of 2^0?

• 2

• 0

• 4

• 1