Domain and Range of Quadratic Functions

Domain and Range

​https://youtu.be/VUTXsPFx-qQ

Continuous Graphs

(solid lines)

*Least to Greatest

* and ≤ or ≥

* < or >

* -∞ <--> +∞ means All Real Numbers

Graphs

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Discrete Graphs

(dashed lines)

* {use list of #'s}

Repeating numbers are only shown once.

​Diagrams

(1,2), (2,2), (3,3), (4,3)

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*Least to Greatest

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DIXI ROYD

Domain

Input

X-Values

Independent

R O Y D

Dependent

Y- Values

Output

Range

D I X I

Multiple Choice

A part of quadratic function f is graphed on the grid.  What is the domain of the part of the function shown?

• All real numbers greater than or equal to −1

• All real numbers greater than or equal to 1

• All real numbers

• All real numbers greater than or equal to −1 and less than or equal to 5

Multiple Choice

What is the range of the function for this situation?

• 0 ≤ y ≤ 9

• 0 ≤ x ≤ 9

• 0 ≤ y ≤ 80

• 0 ≤ x ≤ 80

Multiple Choice

A function is shown. 

$$f(x)=\frac{2}{5}(x−25)^2+13$$

What is the range of the function?

• All real numbers

• All real numbers greater than or equal to 25

• All real numbers greater than or equal to 10

• All real numbers greater than or equal to 13