Math - Functions Flashcards
(25 cards)
What is a function?
A relation that assigns exactly one output for each input.
True or False: A function can have multiple outputs for a single input.
False
What is the domain of a function?
The set of all possible inputs for the function.
What is the range of a function?
The set of all possible outputs of the function.
Fill in the blank: A function is often denoted by the letter ____.
f
What does f(x) represent in a function?
The output of the function f when the input is x.
Which of the following is not a function? (A) y = x^2 (B) y = √x (C) y = x + 1 (D) y^2 = x
D
True or False: The vertical line test can determine if a graph represents a function.
True
What is a one-to-one function?
A function where each output is produced by exactly one input.
What is an inverse function?
A function that reverses the effect of the original function.
If f(x) = 2x + 3, what is f(2)?
7
What is the composition of functions?
Combining two functions where the output of one function becomes the input of another.
If f(x) = x^2 and g(x) = x + 1, what is (f ∘ g)(x)?
g(x)^2 = (x + 1)^2
What is a piecewise function?
A function defined by different expressions for different intervals of the domain.
True or False: The function f(x) = |x| is continuous everywhere.
True
What is the limit of a function?
The value that a function approaches as the input approaches a certain point.
What is the difference between a linear function and a quadratic function?
A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax^2 + bx + c.
If f(x) = 3x - 5, what is the slope of the function?
3
What is a constant function?
A function that does not change; it has the form f(x) = c, where c is a constant.
Fill in the blank: The graph of a quadratic function is a ____.
parabola
What is the standard form of a quadratic function?
f(x) = ax^2 + bx + c
Which of the following is an example of an exponential function? (A) f(x) = 2^x (B) f(x) = x^2 (C) f(x) = 3x + 1
A
What is the y-intercept of the function f(x) = 4x + 2?
2
What is a polynomial function?
A function that is represented by a polynomial expression, such as f(x) = a_n x^n + … + a_1 x + a_0.
