Inequality Imagery
This symbol is used to represent an "open circle" on a number line for values strictly greater than a number.
What is >?
If f(x) = 2x + 10, find f(5).
What is 20?
This term refers to the set of all possible "input" or x-values for a function.
What is the Domain?
This type of punctuation (round) is used in interval notation when a value is NOT included.
What are parentheses?
In the equation y = mx + b, this letter represents the slope.
What is m?
This type of circle is used on a graph to show that a specific point is included in the solution set.
What is a closed or solid circle?
In the function g(x) = x squared, find g(-3).
What is 9?
This term refers to the set of all possible "output" or y-values for a function.
What is the Range?
This type of punctuation (square) is used when a value IS included.
What are brackets?
In the equation y = mx + b, this letter represents the y-intercept.
What is b?
If a piecewise function has a closed circle at x = 2 on one piece and an open circle at x = 2 on another, this is the piece you use to find the value of f(2).
What is the piece with the closed circle?
This is the name of the "f(x)" notation used to describe the output of a function.
What is Function Notation?
In a piecewise function, these are the x-values where one "piece" ends and the next "piece" begins.
What are Boundary Points or Change Points?
Write the inequality x > 4 in interval notation.
What is (4, ∞)?
This is the slope of a horizontal line, such as f(x) = 5.
What is zero?
Translate "x is at most 10" into a mathematical inequality.
What is x ≤ 10?
Given f(x) = 10 for all x, find f(1,000,000).
What is 10?
If a function is defined for "all real numbers," its domain spans from this negative concept to this positive concept.
What is negative infinity to positive infinity?
Write the inequality -2 ≤ x < 7 in interval notation.
What is [-2, 7)?
Find the slope of the line passing through (0,0) and (2,10).
What is 5?
On a graph, this "test" uses a vertical line to determine if a piecewise relation is actually a function.
What is the Vertical Line Test?
If h(x) = 2x if x < 0 and h(x) = x + 5 if x ≥ 0, find h(0).
What is 5?
Looking at a graph, you track this axis from left to right to determine the domain.
What is the x-axis?
This mathematical symbol, shaped like a "U," is used to join two separate intervals together.
What is the Union symbol?
This is the equation of a line with a slope of 1 and a y-intercept of 0
What is y = x?