Rational or Irrational?
Linear or Exponential?
Transformations
Polynomials
Statistics
10
Is the sum of 3 & 4 rational or irrational?
Rational! 3 + 4 = 7
The number 7 terminates
10
Is the graph below linear or exponential?
Linear
10
An equation is written in the form:
y = a(x + c)^2+ d
What does the variable "d" do?
Shift the function up/down
10
In the polynomial below, what is the degree?
3 because it's the highest exponent
10
Find the mean of the set of numbers:
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
4.5
20
Is the product of the square root of 3 and 5 rational or irrational?
Irrational. sqrt(3) * 5 = 6.7320...
Irrational because 6.7320 doesn't repeat and doesn't terminate.
20
Is the graph below linear or exponential?
Exponential
20
An equation is written in the form:
y = a(x + c)^2+ d
What does the variable "c" do?
Shift the function left/right
20
In the polynomial below, what is the constant?
9 ... because it's the only term without a variable.
20
What is the mode?
The number that appears the MOST in a data set.
30
Is the product of square root 2 and square root 2 rational or irrational?
Rational. Sqrt(2) * Sqrt(2) = 2.
The number 2 is rational because it terminates.
30
Does the table below represent a linear or exponential function?
Linear
30
An equation is written in the form:
y = a(x + c)^2+ d
What does the variable "a" do?
Makes the graph narrower/wider
30
In the polynomial shown below, what is the leading coefficent?
3... because it's the first number you see when the polynomial is put into standard form.
30
What is the third quartile of the box plot below?
90
40
WILD CARD
The last place team gets 50 points
The first-place team gets 10 points
The other teams in between get 30 points
40
Does the table below represent a linear or exponential function?
Neither... it's quadratic
40
Explain the transformations of the function:
y = -(x+3)^2 - 4
- Flip
- Shift left by 3
- Shift down by 4
40
What is (x + 4)(x -2)
x^2 + 2x - 8
40
What is the interquartile range of the data set below:
{5, 8, 25, 11, 0, 4, 51, 3, 55, 1, 13, 2, 9, 23, 44, 32}
IQR = 25
50
Are there more rational or irrational numbers that exist?
Irrational numbers
50
Mr. Thompson invested in a pack of Pokemon cards that cost him $430. After doing some research he saw that the cost of the pack grows by 2% each year. If Mr. Thompson is 27 years old, how much will the pack of Pokemon cards be when he's 67 years old?
y = 430(1 + .02)^40
y = $494.46
50
Explain the transformations of this function below:
y = -5(x - 2)^2 +4
- Flip
- Narrower by 5
- Shift right by 2
- Shift down by 4
50
What is (3x - 5)(x + 1) + 3x?
3x^2 + x - 5
50
What is the correlation coefficient?
A variable that shows the strength between two sets of data