Functions Modified

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input variable, e.g., f(x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean for a function to be defined?

Back

A function is defined for a particular input if there is a corresponding output value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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 evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the input value into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x, meaning it outputs x if x is positive or 0, and -x if x is negative.

Tags

CCSS.HSF-IF.C.7D

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form f(x) = a(x-h)^2 + k is the point (h, k) where the function reaches its maximum or minimum value.

Front

How do you find the minimum or maximum of a quadratic function?

Back

The minimum or maximum value of a quadratic function can be found at the vertex, which occurs at x = -b/(2a) for the standard form ax^2 + bx + c.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and are represented by a straight line, while quadratic functions have a variable rate of change and are represented by a parabola.