Functions, trigonometry, and algebra concepts reviewed before starting calculus.
36 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a function?
- A relation where each input has exactly one output
- What is the domain of a function?
- The set of all possible input values
- What is the range of a function?
- The set of all possible output values
- What is a one-to-one (injective) function?
- Each output value corresponds to exactly one input value
- What is an onto (surjective) function?
- The range equals the codomain; every possible output is achieved
- What is an inverse function?
- A function that reverses another function, denoted f^-1(x), where f(f^-1(x)) = x
- What is function composition?
- Applying one function to the output of another, written (f o g)(x) = f(g(x))
- What is an even function?
- A function where f(-x) = f(x) for all x in the domain
- What is an odd function?
- A function where f(-x) = -f(x) for all x in the domain
- What is a vertical asymptote?
- A vertical line x = a that a function approaches but never reaches
- What is a horizontal asymptote?
- A horizontal line y = b that a function approaches as x approaches infinity
- What is an oblique (slant) asymptote?
- A line that a rational function approaches as x approaches infinity, neither vertical nor horizontal
- On the unit circle, what does sine of an angle equal?
- The y-coordinate of the point on the unit circle at that angle
- On the unit circle, what does cosine of an angle equal?
- The x-coordinate of the point on the unit circle at that angle
- How is tangent defined in terms of sine and cosine?
- tan(x) = sin(x) / cos(x)