ALGEBRA 2 WKST
Chapter One Key Terms
absolute value function
base a logarithm function
boundary of an interval
boundary points
change of base formula
closed interval
common logarithm function
composing
composite function
compounded continuously
cosecant function
cosine function
cotangent function
dependent variable
domain
even function
exponential decay
exponential function base a
exponential growth
function
general linear equation
graph of a function
graph of a relation
grapher failure
half-life
half-open interval
identity function
increments
independent variable
initial point of parametrized curve
interior of an interval
interior points of an interval
inverse cosecant function
inverse cosine function
inverse cotangent function
inverse function
inverse properties for ax and logax
inverse secant function
inverse sine function
inverse tangent function
linear regression
natural domain
naturals logarithm function
odd function
one-to-one function
open interval
parallel lines
parameter
parameter interval
parametric curve
parametric equations
parametrization of a curve
parametrize
period of a function
periodic function
perpendicular lines
piecewise defined function
point-slope equation
power rule for logarithms
product rule for logarithms
quotient rule for logarithms
radian measure
range
regression analysis
regression curve
relation
rise
rules for exponents
run
scatter plot
secant function
sine function
sinusoid
sinusoidal regression
slope
slope-intercept equation
symmetry about the origin
symmetry about the y-axis
tangent function
terminal point of a parametrized curve
x-intercept
y-intercept
AP Name ________________________________________hr 4
Review Worksheet
Chapter 1Sections 1.1-1.6 Date ____/____/____ Score:________/ = ________%
Write an equation for the specified line.
1. through (1, -6) with slope 3 2. through (-3, 6) and (1, -2)
3. through (3, 1) and parallel to 2x – y = -2. 4. through (-2, -3) and perpendicular to 3x – 5y = 1
Determine whether the graph of the function is symmetric about the y-axis, the origin, or neither.
5. [pic] 6. [pic]
symmetry?________________________ symmetry?________________________
Analytically (i.e. algebraically) determine whether the function is even, odd or neither. Explain your conclusion.
7. [pic] 8. [pic]
Find the (a) domain, (b) range, and (c) graph the function.
9. [pic] 10. [pic]
domain: _______________________ domain: ________________________
range: ________________________ range: __________________________
11. Write a piecewise formula for the function.
A parametrization is given for the following curves.
(a) Graph the curve. Identify the initial and terminal points, if any. Indicate the direction in which the curve is traced.
(b) Find a Cartesian equation for a curve that contains the parametrized curve. What portion of the graph of the Cartesian equation is traced by the parametrized curve?
12. [pic], [pic], [pic] 13. [pic], [pic], [pic]
Give a parametrization for the curve.
14. line through (-3, -2) and (4, -1) 15. [pic], [pic]
16. For[pic], find [pic]and verify that 17. Solve for x: [pic]
[pic].
18. A portion of the graph of a function defined on [-3, 3] is shown. Complete the graph assuming that the function is
(a) EVEN (b) ODD
19. The number of guppies in Susan’s aquarium doubles every day. There are four guppies initially.
(a) Write the number of guppies as a function of time.
(b) How many guppies were present after 4 days?
(c) When will there be 2000 guppies?
(d) Give reasons why this might not be a good model for the growth of Susan’s guppy population?
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