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.
32 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a relation in mathematics?
- A set of ordered pairs relating input and output values
- What distinguishes a function from a general relation?
- Each input has exactly one output
- What is the vertical line test used for?
- Determining if a graph represents a function
- What is function notation, such as f(x)?
- A way to name a function and denote its output for a given input
- What is the domain of a function?
- The set of all valid input values
- What is the range of a function?
- The set of all possible output values
- What is a piecewise function?
- A function defined by different expressions over different intervals
- What is an even function?
- A function symmetric about the y-axis, where f(-x) = f(x)
- What is an odd function?
- A function symmetric about the origin, where f(-x) = -f(x)
- What is function composition, written (f o g)(x)?
- 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))?
- 7
- What is the inverse of a function?
- A function that reverses the input-output pairs of the original
- How do you find the inverse of a function algebraically?
- Swap x and y, then solve for y
- What notation represents the inverse of f?
- f^-1(x)
- What is true about the graphs of a function and its inverse?
- They are reflections of each other across the line y = x
FlashKeepers