Domain, Range, Increasing and Decreasing Parabolas

The domain for every parabola

• All real numbers

• Positive integers

• Negative integers

• Depends on the parabola

What is the domain & range?​ (a)   ​ (b)  

• domain: x=3

• range: all real numbers

• domain: all real numbers

• range: y=3

• range: -5<y<10

• domain: x>3

Domain ​ (a)  

Range ​ (b)  

• All Real Numbers

• x < 6

• -2 < x < 6

• x ≤ -2

What is the interval of increase?

• All Real Numbers
  

What is the negative interval of the function?

The range (all possible y values) for this parabola is:

What is the range (all possible y values) of this parabola?

What is the range of the function?
*Hint: Range is all of the y-values included in the function. 

• y≤3

• y≥3

• All real numbers

• -6≤y≤3

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞

• x → ∞, y→ ∞ and
  x→⁻∞, y→∞

• None of these

• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic