PRE-CALCULUS
WS 929
NAME _______________________________
PERIOD _____ DATE ___________________
WRITE THE WORD TRUE OR FALSE. IF THE STATEMENT IS TRUE,
CORRECT THE STATEMENT TO MAKE IT A TRUE ONE. (NO WIMPY )
_____________1) All linear functions are known as constant functions.
_____________2) If f(5) = 3, then the point (5, 3) is located on the graph of
function.
_____________3) The rate of change over an interval is the ratio of the
difference in the output to the difference of the input.
_____________4) The identity function is f(x) = x.
_____________5) All the x-coordinates are identical on a vertical line.
FILL-IN THE BLANK WITH THE CORRECT MATHEMATICAL TERM.
6)
Any coplanar lines with identical slopes and different vertical intercepts will
be __________________________ lines.
7)
8)
A graph that rises from left to right is the graph of a/an _______________
function.
A function is a relation where each __________________ has exactly one
_______________________.
9)
Evaluating a function means finding the function’s ________________.
10)
ax + by + c = 0 is known as the ____________________ form of a line.
EVALUATE EACH OF THE FOLLOWING FUNCTIONS FOR f(-7).
11)
f(x) = -5x – 2
12)
f  x 
x
1
2
13)
f  x   2 x2  5x  6
16)
f  x  x 1
FIND x IF f(x) = 8 FOR EACH OF THE FOLLOWING:
14)
f(x) = 5x + 3
15)
f(x) = x2 – 8
2
17 – 18)
If f(x) = 2x + 1, find f(0) . Find x if f(x) = 0.
19 – 20)
If f(t) = t2 – 4, find f(0). Find t if f(t) = 0.
Let f  x   x2  16  5 .
21)
Find f(0).
22)
Find x if f(x) = 0.
24) What is the vertical intercept?
25)
23)
Find f(3)
Where does the graph cross the x-axis?
A ball is thrown up from the ground with an initial velocity of 64 ft/sec. Its height at
time t is h(t) = -16t2 + 64t.
26)
Evaluate h(1)
27) Evaluate h(3)
28)
What does the results of #26 and #27 tell us about the height of the ball?
29)
Using the graph on your calculator, determine when the ball hits the ground. Round to
the nearest tenth if necessary.
30)
Using the calculator, determine the maximum height of the ball.
Success in life, in anything,
depends upon the number of persons that one can make himself agreeable to.
Thomas Carlyle
3
Use the table to answer the following questions:
m
-2 -1 0 1 2 3 4 5
F(m) 12 1 9 7 0 -2 2 -1
31)
f(-1)
32)
f(m) = -2
33)
Vertical intercept
34)
f(4) + f(5)
35)
9f(1)
36)
Horizontal intercept
36.5)
f
f  3
Use the graph to answer the following questions:
37) f(6)
38) f(-4)
39) f(0)
40) Find x if f(x) = 6
41) What is the slope of this line?
45) What is the horizontal intercept?
42) Find an equation of the line in
point-slope form.
46)
43) Find an equation of the line in
slope-intercept form.
47) What is the average rate of
change over the interval [-3, 4]. Show
work or explain your reasoning.
44) Surprise! Find the equation of the
line in standard form.
f
f  2
4
Calculate the average rate of change of f(x) = 2x2 – 4x + 5 for the following
intervals. Show work!
48)
[2, 6]
50)
[a, a+2]
49) -4 < x < 0
The Jock Verse the Nerd…
Michael Jordan having 'retired,' with $40 million in
endorsements, makes $178,100 a day, working or not.
If he sleeps 7 hours a night, he makes $52,000 every
night while visions of sugarplums dance in his head.
If he goes to see a movie, it'll cost him $7.00, but
he'll make $18,550 while he's there.
If he decides to have a 5-minute egg, he'll make
$618 while boiling it.
He makes $7,415/hour more than minimum wage.
If he wanted to save up for a new Acura NSX
($90,000) it would take him a whole 12 hours.
If someone were to hand him his salary and
endorsement money, they would have to do it
at the rate of $2.00 every second.
He'll probably pay around $200 for a nice round
of golf, but will be reimbursed $33,390 for
that round.
He'll make about $19.60 while watching the 100- meter dash in the
Olympics, and about
$15,600 during the Boston Marathon .
This year, he'll make more than twice as much
as all U.S. Past presidents for all of their
terms combined.
Amazing isn't it?
However...
If Jordan saves 100% of his income for the next
500 years, he'll still have less than Bill Gates has
at this very moment.
Game over. Nerd wins ..….