12 Basic Functions w/ Graphs Questions and Answers
2025/2026
The Identity Function
y=x - CORRECT ANSWER-Domain: ALL REALS
Range: ALL REALS
Discontinuities: None
Decreasing Intervals: None
Increasing Intervals: (-∞,∞)
Symmetry: ODD (about the origin)
Bounded: Unbounded or NONE
The Squaring Function
y = x^2 - CORRECT ANSWER-Domain: ALL REALS
Range: [0,∞)
Discontinuities: None
Decreasing Intervals: (-∞,0]
Increasing Intervals: [0,∞)
, Symmetry: EVEN (across y-axis)
Bounded: Bounded Below
The Cubing Function
y=x^3 - CORRECT ANSWER-Domain: ALL REALS
Range: ALL REALS
Discontinuities: NONE
Decreasing Intervals: NONE
Increasing Intervals: All REALS
Symmetry: ODD (about the origin)
Bounded: Unbounded or NONE
The Reciprocal Function
y=1/x - CORRECT ANSWER-Domain: (-∞,0) ∪ (0,∞)
Range: (-∞,0) ∪ (0,∞)
Discontinuities: NONE **Asymp @ x=0 (VA)**
Decreasing Intervals: (-∞,0)
Increasing Intervals: (0, ∞)
Symmetry: ODD (about the origin)
Bounded: Not Bounded or NONE
2025/2026
The Identity Function
y=x - CORRECT ANSWER-Domain: ALL REALS
Range: ALL REALS
Discontinuities: None
Decreasing Intervals: None
Increasing Intervals: (-∞,∞)
Symmetry: ODD (about the origin)
Bounded: Unbounded or NONE
The Squaring Function
y = x^2 - CORRECT ANSWER-Domain: ALL REALS
Range: [0,∞)
Discontinuities: None
Decreasing Intervals: (-∞,0]
Increasing Intervals: [0,∞)
, Symmetry: EVEN (across y-axis)
Bounded: Bounded Below
The Cubing Function
y=x^3 - CORRECT ANSWER-Domain: ALL REALS
Range: ALL REALS
Discontinuities: NONE
Decreasing Intervals: NONE
Increasing Intervals: All REALS
Symmetry: ODD (about the origin)
Bounded: Unbounded or NONE
The Reciprocal Function
y=1/x - CORRECT ANSWER-Domain: (-∞,0) ∪ (0,∞)
Range: (-∞,0) ∪ (0,∞)
Discontinuities: NONE **Asymp @ x=0 (VA)**
Decreasing Intervals: (-∞,0)
Increasing Intervals: (0, ∞)
Symmetry: ODD (about the origin)
Bounded: Not Bounded or NONE
