Pre Calculus Functions Quiz

Constant

y=c

D: (-∞, ∞) R: {c}

even, continuous, constant

linear

y=x

D: (-∞, ∞) R: (-∞,∞).

Odd, continuous, unbounded.

Rational

y= 1/x

D:(-∞, 0) U (0, ∞) R: (-∞, 0) U (0, ∞) .

odd, discontinuous, vertical asymptote.

Quadratic

y=x²

D:(-∞,∞) R:[0, ∞).

even, continuous, bounded up, concave up

cubic

y=x³

D:(-∞, ∞) R: (-∞,∞)

odd, continuous, unbounded

square root

y=√x

D: [0, ∞) R: [0, ∞),

continuous, no symmetry

absolute value

y=|x|

D:(-∞, ∞) R: [0, ∞)

even, continuous, bounded below

cube root

y=∛x

D:(-∞, ∞) R:(-∞, ∞)

odd, continuous, unbounded

exponential

y=eˣ

D:(-∞,∞) R:(0,∞)

continuous, bounded below, no symmetry, horizontal asymptote y=0

logarithmic

y=ln(x)

D:(0,∞) R:(-∞,∞)

continuous, unbounded, no symmetry, vertical asymptote x=0

sine

y= sin(x)

D:(-∞,∞) R:[-1,1]

(0,0) intercept, bounded, continuous.

cosine

y=cos(x)

D:(-∞,∞) R:[-1,1]

intercept (0,1), bounded, continuous

tangent

y= tan(x)

greatest integer

y=〚x〛

D:(-∞, ∞) R: integers

constant, discontinuous, neither even nor odd.

signum

y=

{|x| then x cannot equal 0

{x

{0 then x=0

D:(-∞,∞) R: {-1, 0,1}

discontinuous, constant

cotangent

y= cot(x)

cosecant

y=csc(x)

secant

y= sec(x)