Algebra 1 Semester 1 Final Review Part 1

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 based on its domain.

Front

How do you represent the range of a linear function graphically?

Back

The range can be represented by the y-values that the graph covers, often expressed as an inequality.

Front

What is a linear function?

Back

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

Front

What does the slope of a linear function represent?

Back

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

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you determine the range of an exponential function?

Back

The range of an exponential function is typically all real numbers greater than a certain value, depending on the function's parameters.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.

Front

What is a function's domain?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How can you express the relationship between two quantities in a function?

Back

You can express the relationship using an equation, such as y = mx + b for linear functions.