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M1551
TEST 1 Preview sheet.
When a number is underlined, it means you should be prepared to do similar problems with any number in place
of the underlined number.
Inequalities
1.
Express “the distance from
x
to
a
” as a mathematical function.
2.
Solve the inequality  5
x
– 7
 > 10
.
3.
Graph the functions y =  5
x
– 7
 and
y
= 10
, and use your picture to solve
problem 1) graphically.
Linear functions and equations
1.
Write the equation of the line through (1
, 3
) and (22
, 65
) in the form
y
=
mx
+
b
.
2.
Find the number
a
so that the “line through (5
, 3
) and (
a
,
a
)” has
y
intercept
(0
, 1
).
3.
Find both the slope and intercept of the line in problem 3 as a function of
a
.
4.
Let
f
be a function and let
p
and
q
be numbers.
Find both the slope and
intercept of the “line through (
p
,
q
) and (
a
,
f
(
a
))” as a function of
a
,
p
and
q
.
Average rate of change
1.
A particle moves along a number line so that its position at time
t
is
f
(
t
).
What is its “average velocity of the particle on the interval from time
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This note was uploaded on 11/23/2011 for the course MATH 1551 taught by Professor Malisoff during the Fall '08 term at LSU.
 Fall '08
 MALISOFF
 Math, Calculus

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