Block 4 Intercepts and Zeros

Front

What is the definition of 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 find the y-intercept of a graph?

Back

The y-intercept of a graph is found by determining the point where the graph crosses the y-axis, which occurs when x = 0.

Front

What does it mean if a graph has zero x-intercepts?

Back

If a graph has zero x-intercepts, it means that the graph does not cross the x-axis, indicating that there are no real solutions to the equation y = 0.

Front

What are the coordinates of the y-intercept?

Back

The coordinates of the y-intercept are given as (0, y), where y is the value of the function when x = 0.

Front

What is a function?

Back

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

Front

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

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero, indicating where the line crosses the y-axis.

Front

How can you determine if a relation is a function from its graph?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What is the difference between intercepts and zeros of a function?

Back

Intercepts are points where the graph crosses the axes, while zeros are the x-values that make the function equal to zero.

Front

What is the maximum value of a function?

Back

The maximum value of a function is the highest point on the graph, representing the largest output value.

Front

What does it mean for a function to be not a function?

Back

A relation is not a function if it assigns more than one output value for a single input value.