623 – FST – Chapter 2 Review
Chapter 2.1 – Language of Functions
1.. Which of the following represent a function?
a.. { (3, 2), (5, -2), (6, 4), (-3, -2) }
c..
d..
2
2
e..
5
b.. { (-6, 1), (2, 0), (3, 7), (2, 5) }
-2
-2
2.. Which of the following is true?
a.. y is a function of x.
b.. x is a function of y.
3.. Given the functions f(x) = ⎣ x3 – 11⎦ and g(x) = 3⎡x + .6⎤ find:
a.. f(6.8)
b.. g(3.5)
c.. g(-2.5)
d.. f(-2.2)
4.. What are the domain and range for the functions above?
f(x):
domain:
g(x):
domain:
range:
range:
5.. Sketch each graph. What is the domain and range for each?
2
a.. y = (x + 1) – 2
b.. y = |x – 2| + 1
3
c.. y = (x – 2)
d..
y=
10
x-2
+2
e.. y = x + 1
4
4
4
4
4
2
2
2
2
2
-5
5
-5
5
-5
5
-5
5
-5
5
-2
-2
-2
-2
-2
-4
-4
-4
-4
-4
Chapter 2.2 – Linear Models
6.. You and a friend open a lemonade stand to raise money for a trip to Worcester. If you sell 50 cups
you make $5.50 and if you sell 100 cups you make $18.
a.. graph the two points and make a line (pay
attention to dependency).
6
b.. Find a linear model that describes the situation.
5
4
3
c.. What does the y – intercept represent?
2
1
d.. What does the slope represent?
e.. How many cups do you need to sell to
make $50?
2
4
6
8
f.. How much do you make if you sell 200
cups?
Chapter 2.3 – Line of Best Fit
4
7.. Find the center of gravity.
2
-5
5
8.. Calculate the method of least squares.
-2
-4
Chapter 2.4 – Step Functions
9.. In the olden days AOL charged $5 per month to use the internet for up two hours and an additional
$2 for each hour or portion of an hour there after.
Label both axis and then graph the situation described above.
6
5
4
3
2
1
2
4
6
8
Chapter 2.5 – Correlation
10.. Match the correlation coefficient with each scatter plot below.
6
6
6
6
4
4
4
4
4
2
2
2
2
2
6
5
{ 1, .72, .28, 0, -.31, -.76, -1 }
5
5
5
5
Chapter 2.6 – Quadratic Models
11.. Given the function y = x2 + 4x – 5…
a.. find the y–intercept(s).
b.. find the x–intercept(s).
c.. find the vertex.
d.. find the max or min.
Chapter 2.7 – Finding Quadratic Model
12.. Given the points (-3, 59), (1, -1), (2, -6) find a quadratic model.