Algebra 2, Unit 1: Functions and Relations. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a relation in mathematics?
Show answer
A set of ordered pairs relating input and output values- What distinguishes a function from a general relation?
Show answer
Each input has exactly one output- What is the vertical line test used for?
Show answer
Determining if a graph represents a function- What is function notation, such as f(x)?
Show answer
A way to name a function and denote its output for a given input- What is the domain of a function?
Show answer
The set of all valid input values- What is the range of a function?
Show answer
The set of all possible output values- What is a piecewise function?
Show answer
A function defined by different expressions over different intervals- What is an even function?
Show answer
A function symmetric about the y-axis, where f(-x) = f(x)- What is an odd function?
Show answer
A function symmetric about the origin, where f(-x) = -f(x)- What is function composition, written (f o g)(x)?
Show answer
Applying one function to the result of another, f(g(x))- If f(x) = x+1 and g(x) = 2x, what is f(g(3))?
Show answer
7- What is the inverse of a function?
Show answer
A function that reverses the input-output pairs of the original- How do you find the inverse of a function algebraically?
Show answer
Swap x and y, then solve for y- What notation represents the inverse of f?
Show answer
f^-1(x)- What is true about the graphs of a function and its inverse?
Show answer
They are reflections of each other across the line y = x
FlashKeepers