Functions

Front

What is the graph of the linear function y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept at (0, 2).

Front

How can you determine the function represented by a table of values?

Back

You can determine the function by identifying the relationship between the input (x) and output (y) values, often expressed in the form y = mx + b.

Front

What is the domain of a function?

Back

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

Front

What does it mean for a set of values to represent a function?

Back

A set of values represents a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the definition of a function?

Back

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

Front

What are the characteristics of a linear function?

Back

A linear function has a constant rate of change, can be represented by a straight line, and is expressed in the form y = mx + b.

Front

How do you identify if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then the relation is not a function.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the output value when the input is zero.