NAME
PERIOD
DATE
Chapter 4 Vocabulary Review
Write the term to properly completeeach sentence.
1. If two lines have slopes that are negative reciprocals ofeach other, then they
1.
perpendicular lines
2.
inverse relation
3. A graph of data points is sometimes called a
3.
scatter plot
4. If two lines have slopes that are the same, then they are
4.
parallel lines
5. The number that describes how closely a best-fit line models a set of data is
called the
5.
correlation çoçmcieng
6. The leftmost data point in a set is (3, 27) and the rightmost point is (12, 13).
If you use a linear prediction equation to find the corresponding y-value for
x = 10, you are using a method called
6.
linear interpQlgtion
7. The leftmost data point in a set is (1997, 24) and the rightmost point is
(2011, 38). If you use a linear prediction equation to find the corresponding
y-value for x = 2012, you are using a method called
7.
linear extrapolation
8. The equation y = —3x+ 12 is written in
form.
8.
slope-intercept
9. The equation y + 6 = 2(x —4) is written in
form.
9.
point-slope
is the set of ordered pairs obtained by exchanging
the x-coordinates with the y-coordinates of each ordered pair of a relation or
function.
Define each term in your own words.
10. line of fit
A line of fit is a line that closely fits the data points from a scatter plot, even if all
of the data points do not lie on that line. (answers may vary)
11. linear extrapolation
Linear extrapolation is the process of using a linear equation to predict a y-value
for an x-value that lies outside the x-values of the original data set.
NAME
DATE
PERIOD
Skills Practice
4-7
Inverse Linear Functions
Findthe
of each relation.
1.
3.
—9
—1
—7
—4
—3
—10
2
3
4
—13
5
8
-4
-2
6
4
—2
o
2
1
4
2
2
(—10, —3), (—13,
2), (—1, 8), (1, 14), (3, 20))
4.
5.
{(2, -3), (8, -1), (14, 1), (20, 3)}
-3), (2, -9), (—1,—15),(—4,-21))
5), (-9, 2), (-15, -1), (-21,
7.
16), (-2, 12), (-3, 8), (—4,4))
{(16, -1), (12,
Graph the inverse of each function.
9.
8.
Find the inverse of each function.
ll.f(x) =
5
f-l (x)=
14.f (x)=
12.f(x)=
+ 7)
f-l(x) £
8
16 +
= (x +16)
13
15. f(x) =
4
5
4
17. LEMONADEChrissy spent $5.00 on supplies and lemonade powder for her lemonade
stand. She charges $0.50 per glass.
3
5.00
a. Write a function P(x) to represent her profit per glass sold. P(X) =
x
+
5.00
p -l (x) =
b. Find the inverse function, P 10
—2
0.50
c. What do x and P -i(x) represent in the context of the inverse function? X represents
the total profit and P -l (x) represents the number of glasses sold.
d. How many glasses must Chrissy sell in order to make a $3 profit? 16
Chapter 4
45
GlencoeAlgebra 1