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AP Calculus - Parent Functions

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Section 1

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Greatest Integer Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

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Calculus Math

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6 years ago

Date created

Mar 14, 2020

Cards (12)

Section 1

(12 cards)

Greatest Integer Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Cosine Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Exponential Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Square Root Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: [0, ∞) Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Natural Log Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Reciprocal Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: (-∞, 0) ∪ (0, ∞) Range: (-∞, 0) ∪ (0, ∞) Symmetry: w.r.t. origin Asymptote(s): x=0, y=0 Odd/Even/Neither: odd Increasing Intervals: none Decreasing Intervals: (-∞, 0) ∪ (0, ∞) Continuous?: no (x≠0)

Back

Sine Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Identity Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: (-∞, ∞) Range: (-∞, ∞) Symmetry: w.r.t. origin Asymptote(s): none Odd/Even/Neither: odd Increasing Intervals: (-∞, ∞) Decreasing Intervals: none Continuous?: yes

Back

Logistic Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Cubing Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: (-∞, ∞) Range: (-∞, ∞) Symmetry: w.r.t. origin Asymptote(s): none Odd/Even/Neither: odd Increasing Intervals: (-∞, ∞) Decreasing Intervals: none Continuous?: yes

Back

Absolute Value Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: Range: Symmetry: Asymptote(s): Odd/Even/Neither: Increasing Intervals: Decreasing Intervals: Continuous?:

Back

Squaring Function. What is the graph, domain, range, symmetry, asymptote(s), odd/even/neither, increasing intervals, decreasing intervals and continuity?

Front

Domain: (-∞, ∞) Range: [0, ∞) Symmetry: w.r.t. y-axis Asymptote(s): none Odd/Even/Neither: even Increasing Intervals: [0, ∞) Decreasing Intervals: (-∞, 0] Continuous?: yes

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