Functions Study Guide

What does it mean for a function to be linear?

• A linear function is a function that graphs to a straight line, meaning it has a constant rate of change.

• A linear function is a function that can be represented by a quadratic equation.

• A linear function is a function that has varying rates of change depending on the input.

• A linear function is a function that graphs to a curve, indicating non-constant change.

What is the range of a function?

• The set of all possible input values (x-values) that the function can accept.

• The set of all possible output values (y-values) that the function can produce.

• The difference between the maximum and minimum values of the function.

• The average of all output values (y-values) produced by the function.

What is a vertical line test?

• A method to determine if a graph represents a function; if a vertical line crosses the graph at more than one point, it is not a function.

• A technique used to find the slope of a line on a graph.

• A way to measure the height of a graph at a specific point.

• A test to check if a graph is symmetrical about the y-axis.

What does it mean for a function to be nonlinear?

• A nonlinear function is a function that does not graph to a straight line, indicating a variable rate of change.

• A nonlinear function is a function that graphs to a straight line, indicating a constant rate of change.

• A nonlinear function is a function that can be represented by a polynomial of degree one.

• A nonlinear function is a function that has no variables and is constant.

How do you determine if a graph is increasing, decreasing, or has no change?

• A graph is increasing if the y-values rise as x-values increase.

• A graph is increasing if the y-values fall as x-values increase.

• A graph is increasing if the y-values remain constant as x-values increase.

• A graph is increasing if the y-values fluctuate randomly as x-values increase.

What are ordered pairs?

• Pairs of numbers that represent coordinates on a graph.

• Random pairs of numbers without any specific order.

• Pairs of letters used in algebraic expressions.

• Single numbers that indicate a point on a number line.

What is a table of values in relation to functions?

• A table of values lists pairs of input and output values for a function, showing how each input corresponds to an output.

• A table of values is a graphical representation of a function's behavior over time.

• A table of values is used to store random numbers for statistical analysis.

• A table of values is a collection of unrelated data points without any specific function.

What is a graph of a function?

• A graph of a function visually represents the relationship between input values (x) and output values (y) on a coordinate plane.

• A graph of a function is a random collection of points on a plane.

• A graph of a function shows only the output values (y) without any input values (x).

• A graph of a function is a line that connects all the input values (x) without considering the output values (y).

What is a constant function?

• A function that always returns the same value regardless of the input, represented by a horizontal line on a graph.

• A function that changes its output based on the input value.

• A function that has no output for any input value.

• A function that is only defined for certain input values.

What is a function?

• A function is a relation that assigns exactly one output value for each input value.

• A function is a type of variable that can hold multiple values.

• A function is a collection of data points that do not relate to each other.

• A function is a graphical representation of a dataset.