Parent Function Notes Unit 4

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Presentation transcript:

Parent Function Notes Unit 4

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

Linear Function Equation: Increasing Decreasing Graph: Minimum Maximum

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

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

Quadratic Function Equation: Increasing Decreasing Graph: Minimum Maximum

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

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

Rational Function Equation: Increasing Decreasing Graph: Minimum Maximum

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

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

Square Root Function Equation: Increasing Decreasing Graph: Minimum Maximum

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

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

Exponential Function Equation: Increasing Decreasing Graph: Minimum Maximum

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

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

Logarithmic Function Equation: Increasing Decreasing Graph: Minimum Maximum

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

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

Absolute Value Function Equation: Increasing Decreasing Graph: Minimum Maximum

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