Functions
Linear Functions
Rate of Change
Data
Grab Bag
100
Is this a function?
Yes (because there are no repeat x values.)
100
What is the equation, in slope-intercept form, for this linear function?
y=1/2x+2
100
What is the rate of change shown in this table?
2
100
Find the mode.
78
100
If f(x) = 3x2 - 5, what is f(-5)?
A) 70 B) 220 C) -35 D) -80
A)
f(-5) = 3(-5)2 - 5 = 70
200
Is this a function?
Yes (because it passes the vertical line test, at x=3 the value is -2)
200
Does this table represent a linear function? Explain your thinking.
No, this is not a linear function because it doesn't have a constant rate of change.
200
What is the rate of change?
3/4
200
Find the median.
72.5 (halfway between 70 and 75).
200
A scatterplot shows the relationship between the number of absences and a student's final grade. The points trend downward from left to right. Which statement describes this relationship?
A) As absences increase, final grades tends to increase.
B) As absences decrease, final grades tends to decrease.
C) As absences decrease, final grades tends to increase.
D) There is a relatively strong positive correlation.
C) As absences decrease, final grades tends to increase.
300
What is the domain of this relation?
{-1, 0, 1, 2, 3}
300
Write an equation, in slope-intercept form, to represent the relationship in this table.
y=2x+5
300
What is the y-intercept of the line given by the equation shown below?
2x-8y=24
(0,-3)
300
Find the mean.
69.5 (add all the numbers and divide by the number of numbers)
300
What is the probability of picking two cards from a standard 52-card deck and them both being an ace? Write your answer as a fraction in simplified form.
1/221
4/52 * 3/51
400
Let 'n' represent the number of the term in the sequence. Which expression best describes the sequence -2, 1, 4, 7...?
A. n + 3 B. 3n - 5
C. 2n + 3 D. 3n - 2
B. 3n - 5
When you substitute 1 for the first term, you get 3*1-5, which is -2. Then 2 for the second term, you get 3*2-5, which is 1, etc.
400
What is the slope of line below?
A) 1/2 B) 2 C) -1/2 D) -2
3x + 6y = 15
C) Solving for y... y = -1/2x + 2.5
400
Suppose that a bike rental charges for $4 plus $7.50 per hour. Your total bill is $34. Write an equation that can be solved to find the total rental time, T.
4 + 7.50T = 34
7.50T + 4 = 34
400
What percent of the students scored 85 or higher?
50%
400
(2^-3*3^4*2^5)/(2^-2*3^-5*3^9)
16
500
What one ordered pair could you remove to make this table into a function?
(4,7) or (4,14) would need to be changed because the x value of 4 repeats
500
What does the y-intercept of this linear function represent in the context of the problem?
The weight of the jar itself, or the weight of the jar with zero marbles in it.
500
Write an equation in slope-intercept form for the line containing the points (-1,9) and (4,-6).
y=-3x+6
500
What is the interquartile range shown on the box plot?
40 (Q3-Q1 is 70-30=40)
500
A student randomly guesses answers on a 5-question true/false quiz. What is the probability the student gets at least one question correct?
A) 1/32 B) 31/32 C) 27/32 D) 29/32
B)
P(all correct) = 1/32;
complement to that is 31/32