f(x)
Definition
In calculus, f(x) represents a function where x is the input and f(x) is the output. It shows the relationship between the input and output values of a mathematical expression.
Analogy
Think of f(x) as a vending machine. You put in an input (money), and it gives you an output (snacks). The function f(x) works similarly, taking an input value (x) and producing an output value (f(x)).
Related terms
Domain: The set of all possible input values for a function.
Range: The set of all possible output values for a function.
Graphing: Representing a function visually on a coordinate plane.
"f(x)" appears in:
Practice Questions (20+)
What does the limit of f(x) = (x - 3)/(x^2 - 9) as x approaches 3 represent?
What can we conclude about the limit of f(x) as x approaches 3 based on the table?
What is the limit of f(x) = (x^2 - 2x + 1)/(x^2 - 1) as x approaches 1?
What is the limit of f(x) = (x^3 - x^2)/(x^2 + x) as x approaches -∞?
What is the limit of f(x) = (sin(x) + x)/(x^2 + x) as x approaches 0?
What is the limit of f(x) = (x^3 - 2x^2 + 1)/(x^2 + 1) as x approaches infinity?
What is the limit of f(x) = (sin(x) - x)/(x^3 - x^2) as x approaches 0?
What is the derivative of f(x) = 3(x^2 + 1)?
Find the derivative of f(x) = 3x^2 - 2.
Find the derivative of f(x) = 2x^3 + 4x^2.
What is the derivative of f(x) = sinx?
What is the derivative of f(x) = e^x?
What is the derivative of f(x) = ln x?
What is the derivative of f(x) = sin 3x?
What is the derivative of f(x) = ln(3x)?
What is the derivative of f(x) = e^(sin x)?
What is the derivative of f(x) = cos(x^2)?
What is the derivative of f(x) = ln(cos x)?
What is the derivative of f(x) = e^(-2x^2)?
What is the derivative of f(x) = ln(e^(2x))?
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