Representing Function Relationships

_______________ is a way of representing functions algebraically.

Example: f(x) = 0.75x

• range

• domain

• linear function

• function notation

A __________________ graph is a graph of points that are connected by a line or smooth curve on the graph. These graphs have no breaks.

• function

• discrete

• continuous

• exponential

If a function increases across the entire domain, then the function is called an ___________________________.

• exponential function

• decreasing function

• quadratic function

• increasing function

If a function decreases across the entire domain, then the function is called a _____________________.

• decreasing function

• increasing function

• quadratic function

• linear absolute value function

If the dependent variable of a function does not change or remains constant over the entire domain, then the function is called a __________________________.

• increasing function

• constant function

• decreasing function

• exponential function

The family of ____________________ includes functions of the form f(x) = ax + b, where a and b are real numbers.

• linear absolute value functions

• quadratic functions

• exponential functions

• linear functions

The family of ___________________ includes functions of the form f(x) = a ⋅ b^x, where a and b are real numbers, and b is greater than 0 but is not equal to 1.

• exponential functions

• linear functions

• linear absolute value functions

• quadratic functions

The family of __________________ includes functions of the form f(x) = ax² + bx + c, where a, b, and c are real numbers, and a is not equal to 0.

• linear absolute value functions

• quadratic functions

• linear functions

• exponential functions

The family of __________________________ includes functions of the form f(x) = a|x+b| + c, where a, b, and c are real numbers, and a is not equal to 0.

• exponential functions

• linear functions

• quadratic functions

• linear absolute value functions

A function has an ____________________ if there is a point that has a y-coordinate that is greater than the y-coordinates of every other point on the graph.

• absolute maximum

• range

• absolute minimum

• x-intercept