Download Precalculus Mrs. Spatola Name______________________

Precalculus
Name______________________
Functions- PreTest
Mrs. Spatola
Date______________
1) Determine whether the relation represents a function. If it is a function, state the domain and range.
2) ) Determine whether the relation represents a function. If it is a function, state the domain and range.
{(-3, 7), (2, 5), (2, -3), (8, -2)}
3) Determine whether the equation defines y as a function of x.
y = x2
4) Determine whether the equation defines y as a function of x.
y = |x|
5) Determine whether the equation defines y as a function of x.
y=±
6) Find the value for the function.
Find f(-2) when f(x) = x2 + 3x - 2.
7) Find the value for the function.
Find f(-x) when f(x) = 3x2 - 3x - 2.
8) Find the value for the function.
Find f(x - 1) when f(x) = 3x2 - 5x - 5.
9) If f(x) = 6x3 + 9x2 - x + C and f(-3) = 1, what is the value of C?
10) Solve the problem.
If f(x) =
, f(8) = 0, and f(3) is undefined, what are the values of A and B?
11) If a rock falls from a height of 60 meters on Earth, the height H (in meters) after x seconds is
approximately
What is the height of the rock when x = 1.5 seconds? Round to the nearest hundredth,
if necessary.
12) For the given functions f and g, find the requested function and state its domain.
f(x) = 4x - 3; g(x) = 8x – 9
Find f - g.
13) For the given functions f and g, find the requested function and state its domain.
f(x) = 3x + 4; g(x) = 4x – 6
Find f • g.
14) Find the domain of the function.
f(x) = 6x - 6
15) Find the domain of the function.
h(x) =
16) Find the domain of the function.
f(x) =
17) Determine whether the graph is that of a function. If it is, use the graph to find its domain and range,
the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
18) Given the function f(x) = -2x2 - 4x - 8, is the point (-1, -6) on the graph of f?
19) Given the function f(x) =
, is the point (2,
) on the graph of f?
20) The graph of a function is given. Determine whether the function is increasing, decreasing, or
constant on the given interval.
(5, )
21) Use a graphing utility to graph the function over the indicated interval and approximate any local
maxima and local minima. If necessary, round answers to two decimal places.
f(x) = x3 - 12x + 2; (-5, 5)
22) Find the average rate of change for the function between the given values.
f(x) = 3x - 9; from 1 to 3
23) Find the average rate of change for the function between the given values.
f(x) = x2 + 9x; from 5 to 7