Block 3 Intercepts and Zeros

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

How do you determine the x-intercepts of a graph?

Back

The x-intercepts of a graph are found by setting the output (y) to zero and solving for the input (x).

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented as (0, y).

Front

What defines a function?

Back

A function is defined as a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean for a graph to be a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

What is a zero of a function?

Back

A zero of a function is an input value (x) that results in an output value (y) of zero.

Front

How can you find the range of a function from a set of ordered pairs?

Back

To find the range from a set of ordered pairs, list all the unique y-values from the pairs.

Front

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

Back

The y-intercept indicates the starting value of the function when the input (x) is zero.

Front

What is the difference between x-intercepts and y-intercepts?

Back

X-intercepts are points where the graph crosses the x-axis (y=0), while y-intercepts are points where the graph crosses the y-axis (x=0).

Front

How can you tell if a relation is not a function?

Back

A relation is not a function if any input (x-value) corresponds to more than one output (y-value).