Vocabulary
Functions 1
Functions 2
Rate of Change
Writing Linear Equations
Challenge Riddles
100
Finish the following statements:
1. Domain is the set of ______.
2. Range is the set of ______.
1. x-values
2. y-values
100
Find the domain and range of the relation and determine if it is a function. Is it one-to-one or onto?
{(0,3), (2, 1), (-1, 2), (3, 4)}
Domain = {-1, 0, 2, 3}
Range = {1, 2, 3, 4}
Function? yes
1-1? yes
Onto? yes
100
Write in standard form: 2y = -6x + 4
3x + y = 2
100
What are the 2 most common formulas we use to find slope?
m = rise / run
m = y2 - y1 / x2 - x1
100
Write an equation for a line with slope 2 and passes through (0, 3) in slope-intercept form
y=2x + 3
100
A third of it is a half. What is it?
1 1/2
200
Finish the following statements:
1. A function is when no ____ repeats.
2. A 1-1 function is when no ____ repeats.
3. An onto function is when every _____ has a corresponding _____.
1. x
2. y
3. y , x
200
Why is the relation not onto or 1-1?
{(-1, 0), (2, 1), (3, 3), (-1, 4), (0, 2)}
It is not a function.
200
Determine if each function is linear? If not, why?
1. f(x) = 2x - 1
2. f(x) = x2 + 2
3. f(x) = (x + 4) / 2x
4. f(x) = y - 2x
1. yes
2. no, x2
3. no, dividing by x200
How do you find the average rate of change of a set of data?
Take the first data point and the last data point and plug the points into the slope formula y2 - y1 / x2 - x1
200
Write the equation of the line in slope-intercept form:
y = 5/4x + 3
200
What occurs twice a week, once a year, but never in a day?
The letter E
300
Finish the following statements:
1. A continuous function is ______.
2. A discrete function is ______.
1. a line or curve
2. a set of points that are not connected
300
Find the domain and range of the relation and determine if it is a function. Is it one-to-one or onto?
Domain = {1, 4, 7, 9}
Range = {-2, 4, 5, 6}
Function? yes
1-1? no
Onto? no
300
Write in standard form: 3/2 x = 2/3 y + 1/2
9x - 4y = 3
300
Find the slope of the line containing the following points (-2,5) and (4,7) in simplest fractions form.
What is 1/3
300
If y = 4x + 2
1. Write an equation of a line in slope-intercept form that is parallel to it and passes through (4, 1).
2. Write an equation of a line in slope-intercept form that is perpendicular to it and passes through (4, 1).
1. y = 4x - 15
2. y = -1/4x + 2
300
How can you arrange four nines to make it equal to 100?
99 + 9 / 9 = 100
400
Standard form is... (be very specific)
Ax + By = C where A, B, and C are integers and have a gcf of 1.
400
What is the domain and range of y = 2x + 4? Is it a function, 1-1, and/or onto?
Domain = all real numbers
Range = all real numbers
Function? yes
1-1? yes
Onto? yes
400
Evaluate the function: f(x) = 2x2 - x
f(-3) = ________
f(-3) = 21
400
Find the average rate of change:
m = 19/12 = 1.583
400
Write the equation of the line that passes through the points (4, -3) and (3, 2)?
y = -5x + 17
400
I am a three-digit number.
My tens digit is five more than my one’s digit.
My hundreds digit is eight less than my tens digit.
What number am I?
194
4 + 5 = 9
9 - 1 = 8
500
Finish the following statements:
1. The slope of parallel lines are _____.
2. The slope of perpendicular lines are _____.
1. the same
2. negative reciprocals
500
What is the domain and range of y = x2 + 1? Is it a function, 1-1, and/or onto?
Domain = all real numbers
Range = [1, infinity) or y >= 1
Function? yes
1-1? no
Onto? yes
500
Evaluate the function f(x) = 2x2 - x
f(a + 1)
f(a + 1) = 2a2 + 3a + 1
500
Find the rate of change:
m = 40
500
Write the equation of the line in slope-intercept form
y = -2/3x + 4/3
500
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house?
19 and 91