A1 - All About Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is function notation?

Back

Function notation is a way to write functions that clearly indicates the input variable, typically written as f(x), where f is the function name and x is the input.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the value of the input variable into the function's equation.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is an exponential function?

Back

An exponential function is a function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What are the x-intercepts of a function?

Back

The x-intercepts of a function are the points where the graph of the function crosses the x-axis, meaning the output value (y) is zero.

Front

What are the y-intercepts of a function?

Back

The y-intercepts of a function are the points where the graph of the function crosses the y-axis, meaning the input value (x) is zero.