Name_____________________________________
SUNY Precalculus
Date________________________
Chapter 1 Questions
1. An airplane’s fuel consumption is given by g = f ( v ) where v is measured in miles per hour and g is measured in miles per gallon. What are the units of the slope of the graph of g ?
2. Consider the graph shown below. If new line, L , (not shown) is drawn from the origin and intersects the line segment connecting points a and b , then a possible slope for line L is
(8, 4) a a a. 2 b. 5/8 c. ½ d. ¼ e. √2
3. Consider the table shown below. What is the value of p if f ( x ) is a linear function? x y
1.1
7.6
3.2
3.4
5.6 p
4. If point (0,1) is contained on the graph of the function f ( x ). If 𝑔(𝑥) = −2𝑓(4(𝑥 − 2)) + 5 and the point
(2, k ) is on the graph of g ( x ), what is the value of k ?

5. Among the tables below, which expresses y as a function of x ?
(T1) x
Y
2 1
1 2
2
3
1
4
(T3)
T(2)
X 0


2

3 x -2 -1 0
Y -2 -1 0 y 0 1 0 -1
(T4) x 1 0 e
2 e
3 e y 0 1 2 3
1
1 a. All of them b. Only (T2), (T3), (T4) c. only (T3) and (T4) d. Only (T2) and (T3) e. Only (T3)
6. Let f ( x ) = 4 − 𝑥 2
. Find the average rate of change of f ( x ) on the interval 𝑏 ≤ 𝑥 ≤ 2𝑏 .
7. Consider the perpendicular lines shown in the figure below. If the slope of one line is -2, find the exact coordinates of the point of intersection of the two lines.

8. Suppose the average rate of change of y = f ( x ) between x = -2 and x = 4 is -1/3. If f (4) = 12, what is f (-2)?
9. a. Find a formula for the linear functions described in parts i iii . i. The function h ( x ) whose graph is parallel to the line y – 8 = -4( x
– 3) and contains the point (3,12). ii. The total cost C of an international call lasting n minutes if two minutes cost $3.65 and ten minutes cost $6.45. iii. The function, y = f ( x ), where f ( c ) = k and f ( c + h ) = 3 k and the graph of f ( x ) goes through the origin.
b. A gourmet coffee shop has a weekly budget for 2 imported coffee beans. Sixty dollars per week is allotted for Italian beans and Kenyan beans. Italian beans cost $10/lb and Kenyan beans cost $15/lb. i. Write a formula for the number of pounds of Kenyan beans, K , the gourmet coffee shop can buy as a function of the number of Italian beans,
I¸
it can buy. ii. If the function in part (i) is graphed, what does the horizontal axis intercept represent in the context of this problem ? iii. Interpret the slope of the line in the context of this problem .