2.1-2.4 Quiz Review

2.1-2.4 Quiz Review

By Lauren Humphrey

Lesson 2.1 - Functions and Continuity

• Give domain and range of a relation​ (both discrete and continuous)

• Know how to determine whether a relation is a function or not

• Evaluate a function for a given value

• Tell whether a situation would be correctly modeled by a discrete or continuous situation​

Multiple Choice

What is the Domain?

• {-3, -1, 1, 3, 5, 7, 9}
• {-3, -2, -1, 0, 1, 2, 3}
• [-3, 3]

• [-3, 9]

Multiple Choice

What is the RANGE?

• {-2, -1, 0, 1}

• [0, 3)

• [-2, 1)

• (-2, 1]

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Multiple Choice

$$Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(-1\right)?$$  

• 13

• 8

• 16

• answer not here

Multiple Choice

$$Given\ f\left(x\right)=5x-3\ what\ is\ f\left(2a\right)?$$  

• 10a-3

• 7a-3

• 10a-6

Multiple Choice

A thrift store sells all clothing for $3 each. The cost of x items can be described by the equation y=3x.

• Discrete

• Continuous

Lesson 2.2 - Linearity and Symmetry

• Determine whether an equation, table, or graph is linear or nonlinear

• Identify line or point symmetry and give the line or point of symmetry​​

Multiple Choice

Is this function linear or nonlinear?

• Linear function

• Nonlinear function

Multiple Choice

Is the graph pictured a linear or nonlinear function?

• Linear
• Nonlinear

Multiple Select

Which equations describe a nonlinear function? Select all that apply.

• $$x-3y=12$$  

• $$y=x^3$$  

• $$y=5xy$$  

• $$y=\frac{5x+6}{2}$$  

• $$y=\frac{3}{x+4}$$  

Multiple Choice

Is the table linear or nonlinear?

• Linear
• Nonlinear

Multiple Choice

Does this function have line symmetry or point symmetry? Where is the line or point?

• Line symmetry

  x = 2

• Point symmetry

  (2, -2)

• Line symmetry

  x = -2

• Point symmetry

  (4, 0)

Multiple Choice

Does this function have line symmetry or point symmetry? Where is the line or point?

• Line symmetry

  x = -1

• Point symmetry

  (0, -2)

• Line symmetry

  x = 0

• Point symmetry (-1, 0)

Lesson 2.3 - Extrema and End behavior

• Describe end behavior of ​graphs of functions

• Estimate or give zeros of functions ​

• Find ​relative maxima and relative minima of a function

Multiple Choice

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

Multiple Choice

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞
• +∞
  -∞
• -∞
  +∞
• +∞
  +∞

Multiple Choice

Identify the zeros of the graph?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

Identify the local minimum

• x = 8

• x = 4

• $$\infty$$

• x = 2

Multiple Select

Where are the relative maximums on the graph? (check more than one answer)

• x = 0

• x = -2

• x =2

• x = 3

Multiple Choice

Where are the maxima?

• Between x=0 and x=1

• Between x=-3 and x=-2

• At x=4

• At x=25

Lesson 2.4 - sketching graphs of functions

• Sketch a linear graph when given key features

• Sketch a nonlinear graph when given key features

Draw

The y-intercept is 1. The function is positive for all values of x. The function is decreasing for x < -1. The function is increasing for x > 1. As $$x\rightarrow\infty$$  , $$f\left(x\right)\rightarrow\infty$$   and as $$x\rightarrow-\infty$$  , $$f\left(x\right)\rightarrow\infty$$  .