EOC Study Guide Extra Function Families

Front

What is a function?

Back

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

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and can be represented by a straight line, while nonlinear functions do not have a constant rate of change and can be represented by curves.

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, indicating the value of x when the output (y) is zero.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis, indicating the value of y when the input (x) is zero.

Front

What does the slope of a line represent in a linear function?

Back

The slope represents the rate of change of the function, indicating how much the output (y) changes for a unit change in the input (x).

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 an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b^x), where a is a constant, b is the base, and x is the exponent.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (f(x)) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (f(x)) decreases.