Math 3 Fall Final Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, for any two points in that interval, the function's value at the first point is greater than the function's value at the second point.

Front

How do you find the decreasing intervals of a function?

Back

To find the decreasing intervals, analyze the derivative of the function. If the derivative is negative in an interval, the function is decreasing there.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its factors, which can be linear or quadratic expressions.

Front

Back

Front

What is the significance of the x-intercepts in a graph?

Back

The x-intercepts of a graph are the points where the graph crosses the x-axis, indicating the values of x for which the function equals zero.

Front

What is the relationship between a function and its graph?

Back

The graph of a function visually represents the relationship between the input values (x) and the output values (f(x)).

Front

What does it mean for a function to have a vertical asymptote?

Back

A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as x approaches a.

Front

Back

The solution is x = 0.

Front

What is the domain of a function?

Back

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