When referring to functions, the DOMAIN is made up of ____.
When referring to functions, the RANGE is made up of or _____.
Linear functions have a ____ rate of change. Non-Linear functions have a rate of change that changes.
If a function is ______, then it is going down from left to right.
When referring to functions, the DOMAIN is made up of input values or independent variables.
When referring to functions, the RANGE is made up of output values or dependent variables.
Linear functions have a constant rate of change. Non-linear functions have a rate of change that changes.
If a function is decreasing, then it is going down from left to right.
When referring to functions, the DOMAIN is made up of the input values.
To find the DOMAIN of a function, you need to identify all possible values for the independent variable or the input of the function. This means determining any restrictions or conditions that apply to the independent variable.
For example, if you have a function f(x) = √x, the domain would consist of all non-negative numbers because taking the square root of negative numbers is not defined in the real number system.
When referring to functions, the RANGE is made up of the output values or the dependent variable.
To find the RANGE of a function, you need to determine all possible values that the function can output. This means considering any restrictions or limitations on the dependent variable.
For example, if you have a function f(x) = x^2, the range would consist of all non-negative numbers since the square of any real number is always non-negative.
Linear functions have a constant rate of change.
The rate of change is determined by the slope of the function. In linear functions, the slope remains constant, meaning the rate of change is consistent for any change in the independent variable. This corresponds to a straight line on a graph.
For example, the function f(x) = 2x represents a linear function with a constant rate of change of 2. As x increases by 1, the corresponding value of f(x) increases by 2.
Non-linear functions have a rate of change that changes.
In non-linear functions, the rate of change varies as the independent variable changes. This means that the rate of change is not constant and can be different at different points of the function. Non-linear functions do not result in straight lines on a graph.
For example, the function f(x) = x^2 represents a non-linear function. As x increases, the rate of change also increases, creating a curve on the graph.
If a function is decreasing, then it is going down from left to right.
A decreasing function is one where the dependent variable decreases as the independent variable increases. This means that the function is moving in a downward direction on a graph when moving from left to right.
For example, the function f(x) = -2x represents a decreasing function. As x increases, the value of f(x) decreases, resulting in a downward slope on the graph.
When referring to functions, the DOMAIN is made up of the input values or x-values.
When referring to functions, the RANGE is made up of the output values or y-values.
Linear functions have a constant rate of change. Non-linear functions have a rate of change that changes.
If a function is decreasing, then it is going down from left to right.