Solving Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Tags

CCSS.8.F.A.1

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output value for a given input.

Tags

CCSS.HSF.IF.A.2

Front

What is the notation for a function?

Back

Functions are often denoted by letters such as f(x), g(x), or h(x), where x is the input.

Tags

CCSS.HSF.IF.A.2

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

How do you find the value of f(x) for a given x?

Back

Substitute the value of x into the function's equation and simplify to find f(x).

Tags

CCSS.HSF.IF.A.2

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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 the difference between independent and dependent variables?

Back

The independent variable is the input of the function (x), while the dependent variable is the output (f(x)).

Tags

CCSS.6.EE.C.9

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input.

Tags

CCSS.HSF-IF.C.7B