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Parent Function Notes Unit 4

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Presentation on theme: "Parent Function Notes Unit 4"— Presentation transcript:

1 Parent Function Notes Unit 4

2 Linear Function Yes Equation: Graph: Range Domain Continuity
Line intersects the y-axis at (0,0) Domain = all real numbers Range = all real numbers Equation: Graph: Range Domain *Parenthesis = endpoint not included Continuity Yes

3 Linear Function Equation: Increasing Decreasing Graph: Minimum Maximum

4 Linear Function Equation: Even/Odd/Neither Graph: Odd End Behavior

5 Quadratic Function Yes Equation: Graph: Range Domain Continuity
Graph intersects y-axis at (0,0) Domain = all real numbers Range = all real numbers ≥0 Graph: Domain Range *Parenthesis = endpoint not included *Bracket = endpoint is included Continuity Yes

6 Quadratic Function Equation: Increasing Decreasing Graph: Minimum
Maximum

7 Quadratic Function Equation: Even/Odd/Neither Graph: Even End Behavior

8 Rational Function No Equation: Graph: Domain Range Continuity
Graph never intersects the y-axis Domain = all real numbers ≠ 0 Range = all real numbers ≠ 0 Equation: Graph: Domain Range *Parenthesis = endpoint not included Continuity No

9 Rational Function Equation: Increasing Decreasing Graph: Minimum
Maximum

10 Rational Function Equation: Even/Odd/Neither Graph: Odd End Behavior

11 Square Root Function Yes Equation: Graph: Range Domain Continuity
Line intersects y-axis at (0,0) Domain = all real numbers ≥ 0 Range = all real numbers ≥ 0 Equation: Graph: Domain Range *Parenthesis = endpoint not included *Bracket = endpoint is included Continuity Yes

12 Square Root Function Equation: Increasing Decreasing Graph: Minimum
Maximum

13 Square Root Function Neither Equation: Even/Odd/Neither Graph:
End Behavior

14 Exponential Function Yes Equation: Graph: Domain Range Continuity
Crosses the y-axis at (0,1) Domain = all real numbers Range = all real numbers > 0 Graph: Domain Range *Parenthesis = endpoint not included Continuity Yes

15 Exponential Function Equation: Increasing Decreasing Graph: Minimum
Maximum

16 Exponential Function Neither Equation: Even/Odd/Neither Graph:
End Behavior

17 Logarithmic Function Yes Equation: Graph: Domain Range Continuity
Crosses the x-axis at (1,0) Domain = all real numbers > 0 Range = all real numbers ≥ 0 Domain Range *Parenthesis = endpoint not included Continuity Yes

18 Logarithmic Function Equation: Increasing Decreasing Graph: Minimum
Maximum

19 Logarithmic Function Neither Equation: Even/Odd/Neither Graph:
End Behavior

20 Absolute Value Function
Equation: Crosses the y-axis at (0,0) Domain = all real numbers Range = all real numbers ≥ 0 Graph: Domain Range *Parenthesis = endpoint not included *Bracket = endpoint is included Continuity Yes

21 Absolute Value Function
Equation: Increasing Decreasing Graph: Minimum Maximum

22 Absolute Value Function
Equation: Even/Odd/Neither Graph: Even End Behavior

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