Vocabulary
What is another name for the rate of change?
A. Domain
B. Range
C. Slope
D. Function
C: Slope
Given the points (0,4.5) and (3, 8.25) calculate the slope or rate of change between these two points.
Slope (m) = 1.25
What is the domain and range of the following function? {(1,-1), (2,-3), (0,5), (-1,3), (4,-5), (-1,5), (4,-4)}
Domain: {-1, 0, 1, 2, 4}
Range: {-5, -4, -3, -1, 3, 5}
Mr. Haier has $550 dollars in a bank account. Each week he earns $100 dollars tutoring students after school. Which equation below models the amount of money, m, that Mr. Haier has in his bank account as a function of the number of weeks, w, that he tutored students?
A. m = 100w - 550
B. m = 550w + 100
C. m = 550w - 100
D. m = 100w + 550
D: m = 100w + 550
A function is a rule that for every input it assigns...
A. Exactly one output
B. At least one output
C. Two or more outputs
D. An infinite number of outputs
A: Exactly one output
For the function defined by the equation Y = 5x + 10, what is the slope of the function?
Slope (m) = 5
A function is defined by the set of ordered pairs {(-2,7), (3,6), (5,2), (9,-1)} Which of the following values is NOT in the domain of the function?
A. 9
B. 5
C. 6
D. -2
C: 6
Water is being pumped out of a water tank. When the pumping began, the water tank contained 6,500 gallons. After 50 minutes, the water tank was empty.
A. At what rate is the water being pumped out of the tank in gallons per minute?
B. Write a linear function for the volume of water, v, still in the tank, as a function of the amount of time, t, the water has been pumping.
A. -130 gallons per minute
B. V = -130t +6,500
All linear functions have which of the following?
A. A non-constant average rate of change
B. A constant average rate of change
C. A positive Y-Intercept
D. A positive slope
B: A constant average rate of change
For the function Y = 3x + 15, what is the average rate of change from x = 3 to x = 8?
Rate of Change = 3
The set of ordered pairs {(10, -5), (16, -7) (4, 1), (20,-12) defines Y as a function of X. Which of the following values is NOT in the range of the function?
A. -12
B. 10
C. -7
D. 1
B: 10
Students are measuring the length of a bean plant that they planted for a science experiment. When they first measure the bean plant, it is 2.1 inches tall. Three weeks later, the bean plant was measured to be 7.5 inches tall.
A. At what rate is the length of the plant growing in inches per week?
B. Write a linear function for the height, h, of the bean plant as a function of the number of weeks, w, since they first measured it.
A. 1.8 Inches Per Week
B. H = 1.8w + 2.1
The set of all input values to the function (x-values) is called the...
A. Range
B. Parabola
C. Slope
D. Domain
D: Domain
For the function defined by the equation Y = 20x + 8 which of the following represents the output when the input is 5?
Output (Y) = 108
If a function is defined by the formula Y = 2x +1 and the domain is given by the set {3, 5, 7, 9} then which set below represents the range of the function?
A. {1,2,3,4}
B. {7,11,15,19}
C. {2,4,6,8}
D. {10,15,20,25}
B: {7,11,15,19}
Function A is defined as x2 + 7
Function B contains the points (2,6) and (7, 21)
For the interval X=1 to X=6 Which function A or B has the greater average rate of change? Justify your answer.
Function A rate of change = 7
Function B rate of change = 3
Function A has a greater average rate of change.
In the equation Y = mx + b
A. What does m represent?
B. What does b represent?
b = Y-intercept or initial value
For the function defined by the equation 2/3x + 4, which of the following represents the output when the input is 9?
Output (Y) = 10
See Back Board for graph which shows the variable Y as a function of the variable X. Answer the following questions:
A. Give the output when the input is 4
B. What is the maximum value of the function?
C. From X = -3 to X = 2 is the function increasing or decreasing?
A. -2
B. 4
C. Decreasing
Function A is defined as x2 + 10
Function B contains the points (0, 4) and (8, 20)
For the interval x = 2 to x = 6, Which function A or B has the greater rate of change? Justify your answer.
Function A Rate of Change = 8
Function B Rate of Change = 2
Function A has the greater rate of change