Semester Review Pt. 3

Front

What is the domain of a function?

Back

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

Front

How do you determine the domain of a function from a word problem?

Back

Identify the constraints on the input values based on the context of the problem, such as time, distance, or quantity.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, characterized by the equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented by the value of y when x = 0.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it represents how much y changes for a unit change in x.

Front

What is the difference between domain and range?

Back

Domain refers to the input values (x-values), while range refers to the output values (y-values) of a function.

Front

How can you represent the domain of a function graphically?

Back

The domain can be represented on a graph by identifying the x-values for which the function is defined.