Key Features of Functions

Key Features of Functions

Key Features of this Quadratic

• Domain: [0,40]

• Range: [0,800]

• Maximum: (20,800)

• Zeros: (0,0) and (40,0)

• Interval of Increase: 0 < x < 20

• Interval of Decrease 20 < x < 40

Multiple Choice

What are the green dots called?

• y-intercepts
• maximum
• minimum
• roots/x-intercepts

Multiple Select

Select ALL of the zeros in the graph?

• (-2,0)

• (1,0)

• (0,6)

• (3,0)

Key Features of this Quadratic

• Domain: All Real Numbers

• Range: [-4, infinity)

• Maximum: None

• Minimum: (-1,-4)

• Interval of Increase: x > -1

• Interval of Decrease: x < -1

Multiple Choice

What is the maximum of the graph?

• (0,0)

• none

• (-2,4)

• (0,-4)

Multiple Choice

What is the interval of increase?

• All Real Numbers
  

• $$\left(-\infty,-2\right)$$

• $$\left(-2,\infty\right)$$

• $$\left(-\infty,4\right)$$

Key Features of this Absolute Value

• Domain: All Real Numbers

• Range: [-2, infinity)

• 2 Zeros: (2,0) and (4,0)

• Minimum: (3, -2)

• Maximum: none

Multiple Choice

Which quadratic is an example of a stretch?

• $$y=\frac{1}{2}x^2$$

• $$y=x^2$$

• $$y=2x^2$$

• $$y=-x^2$$

Key Features of this Cubic

• 3 Zeros (or 3 x-intercepts)

• y-intercept (0,-2)

• Domain and Range are all real numbers

Multiple Choice

What is the interval of increase?

• All Real Numbers
  

• $$\left(0,\ 2\right)$$

• $$\left(-3,\ \infty\right)$$

• $$\left(1,\ \infty\right)$$

Multiple Choice

Where is there a relative maximum?

• (0,0)

• (3,1)

• (1,5)

Multiple Choice

Which absolute value equation is a compression?

• $$f\left(x\right)=2\left|x\right|$$

• $$f\left(x\right)=\left|x\right|$$

• $$f\left(x\right)=\frac{1}{\text{4}}\left|x\right|$$

Key Features of the Shown Function

• Domain: [-2,4]

• Range: [-3,3]

• Interval of Increase (-2,0) and (3,4)

• Interval of Decrease (0,3)

• y-intercept (0,3)

• x-intercept (1.5,0)

Multiple Choice

What is the domain of the graph?

• $$0<x<10$$

• $$0\le x\le10$$

• $$-2\le y\le7$$

Multiple Select

Select the TRUE statements.

• Range: All Real Numbers

• minimum: (3,-4)

• zero (1,0) and (5,0)

• Domain: (-4, infinity)

Multiple Choice

Which graph does NOT have a minimum?

• I

• II

• III

Multiple Choice

What is the interval of decrease?

• (1,3)

• (3,5)

• (0,0)

Multiple Select

Which statements are TRUE?

• y-intercept (0,4)

• no zero

• Range

  $$0\le y\le24$$

• Domain $$0\le x\le45$$

What all can you name from the graph to the right?

Multiple Choice

What is the zero of the linear graph?

• (0,1)

• (0, 3)

• (3,0)

• (1,0)

Multiple Choice

What is the green dashed line called?

• x-intercepts

• parabola
• axis of symmetry
• line of dashes

Multiple Choice

What is the vertex?

• (4,-4)
• (2,0)
• (0,2)
• (6,0)

Hope you are feeling better about Key Features of Functions