Key Features of Quadratics (pt. 2)

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4

What is the domain and range of the following function:

  $y\ =\ 3x^2-6x+5$  

• Domain: all real numbers

  Range: y ≤ 2

• Domain: all real numbers

  Range: y > 2

• Domain: all real numbers

  Range: y ≥ 2

• Domain: all real numbers

  Range: y < 2

What is the domain and range of the table pictured?

• Domain: (-∞, ∞)

  Range: [9, ∞)

• Domain: (-∞, ∞)

  Range: [5, ∞)

• Domain: (-∞, ∞)

  Range: (-∞, 9]

• Domain: (-∞, ∞)

  Range: (-∞, 5]

What is the range of the function shown?

• $y\ <\ -1$

• $y\ >\ -1$
  

• $y\ \ge\ -1$
  

• $y\ \le\ -1$
  

Which is the interval of increasing?

•  $x\ >\ -1$  

•  $x\ <\ -1$ 

•  $x\ <\ 4$ 

•  $x\ >\ 4$ 

Find the interval of decrease.

•  $x\ <\ 2$ 

•  $x\ <\ 0$ 

•  $x\ >\ 2$ 

•  $x\ >\ -2$ 

Over which interval is the function in the table increasing?

•  $x\ >\ 5$  

•  $x\ <\ 5$  

•  $x\ >\ 0$  

•  $x\ <\ 0$  

What is the interval of decrease?

• $x\ <\ 4$

• $x\ <\ 5$

• $x\ >\ 4$

• $x\ >\ 5$

What is the end behavior for  $f\left(x\right)\ =\ 2x^{2\ }+\ x$  

• A

• B

• C

• D

Describe the end behavior of the graph.

• $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\infty$
  $x\ \rightarrow\ \infty,\ y\ \rightarrow\ -\infty$
  

• $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ \infty$
  

  $x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$
  

• $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ 0$
  

  $x\ \rightarrow\ \infty,\ y\ \rightarrow\ -\infty$
  

• $x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\infty$
  

  $x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$