Match the type of function to its general equation. Let a, b, c, d, h, k be real-valued constants. Use each function onc
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AP Calculus AB/IB Math SL2
Date:
Functions Review 1. Match the type of function to its general equation. Let a, b, c, d, h, k be real-valued constants. Use each function once and only once. Let P (x) and Q(x) be polynomial functions. 1.
Constant
A) y − y1 = a(x − x1 )
2.
Linear, standard form
B) f (x) = ax2 + bx + c
3.
Linear, slope-intercept form
C) f (x) = axb
4.
Linear, point-slope form
D) f (x) = abx − hc + k
5.
Absolute value
E) f (x) =
6.
Step (Greatest Integer)
F) y = f −1 (x)
7.
Piecewise
G) f (x) = a
8.
Quadratic, standard form
H) f (x) = a0 + a1 x + · · · + an xn
9.
Quadratic, vertex form
I) f (x) = a sin(bx)
10.
Quadratic, factored form
J) Ax + By = C
11.
Exponential
K) f (x) = a|x − h| + k
12.
Power
13.
Logarithmic
P (x) Q(x) √ M) f (x) = a n x − h + k
14.
Logistic
N) f (x) = a + bx
15.
Trigonometric
O) f (x) = a logb (x − c)
16.
Reciprocal
17.
Rational
P) f (x) = a(x − b)(x − c) ( P (x), x < a Q) f (x) = Q(x), x ≥ a
18.
Radical
R) f (x) = abx
19.
Polynomial
S) f (x) = a(x − h)2 + k
20.
Inverse
T) f (x) =
Michelle Krummel
a 1 + be−kt
L) f (x) =
1
1 x
www.mrskrummel.com
AP Calculus AB/IB Math SL2
Functions Review
2. Write the equation for each of the following graphs, using function notation. Then state the domain and range of the function. (a) Equation: Domain: Range:
