Functions
What is a function in math?
A rule that assigns exactly one output for each input.
What are real numbers?
All numbers that can be written on a number line, including rational and irrational numbers.
What is the square root of 49?
7
What does a scatterplot show?
A relationship between two sets of data.
What does a two-way table display?
The relationship between two categories of data.
What is the independent variable in a function?
The input (x-value).
Give an example of an irrational number.
π (pi) or √2
What is 5² (5 squared)?
25
What does a positive correlation look like on a scatterplot?
The points move upward from left to right.
What do the rows and columns in a two-way table represent?*
Different groups being compared.
What is the dependent variable in a function?
The output (y-value)
What is the difference between rational and irrational numbers?
Rational numbers can be written as fractions, while irrational numbers cannot.
What does "√" (the radical symbol) represent?
The square root of a number.
What is an outlier in a scatterplot?
A data point that does not fit the pattern.
What does a total row or column show in a two-way table?
The sum of all the data in that category.
What is the function notation for "y equals 2x + 3"?
f(x) = 2x + 3
Is -5 a real number? Why?
Yes, because real numbers include negatives, fractions, and decimals.
What is the cube root of 27?*
3
What does a negative correlation mean?
As one variable increases, the other decreases.
How can a two-way table help you make predictions?
By analyzing trends and patterns in the data.
If f(x) = x² - 4 and x = 3, what is f(3)?
f(3) = 3² - 4 = 9 - 4 = 5
Which is greater: -2 or -7?
2 is greater because it is closer to zero.
Simplify: √81 + √16
9 + 4 = 13
*What kind of relationship exists if the points are scattered randomly?
No correlation.
What is the difference between a frequency table and a two-way table?
A frequency table shows one variable, while a two-way table compares two variables.