Module 4 NG Flashcard - OPTIONAL extra credit

Front

What is the definition of an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-values) increases as x increases.

Front

How do you determine the increasing intervals of a function?

Back

To find increasing intervals, identify where the derivative of the function is positive.

Front

What does the term 'range' refer to in 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 range of a function?

Back

To find the range, analyze the output values of the function over its domain.

Front

What is the formula for evaluating a function at a specific point?

Back

To evaluate a function f at x, substitute x into the function: f(x).

Front

What is the significance of the x-value in a function?

Back

The x-value represents the input to the function, which determines the corresponding output (y-value).

Front

What does it mean for f(x) to be greater than 0?

Back

f(x) > 0 means that the output of the function is positive for the given x-values.

Front

How do you find the intervals where f(x) > 0?

Back

To find where f(x) > 0, solve the inequality and determine the x-values that satisfy it.

Front

Back

This notation indicates that the output of the function f at a specific input x is -2.

Front

What is the process for solving for x in the equation f(x) = -2?

Back

To solve for x, set the function equal to -2 and solve the resulting equation.