Evaluating Functions

Front

What is a function in mathematics?

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

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

What does it mean to find f(x) when given an equation?

Back

Finding f(x) means determining the output of the function for a given input x by substituting x into the function's equation.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form of a linear function is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear function?

Back

The y-intercept can be found by setting x = 0 in the function's equation and solving for y.

Front

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

Back

The x-intercept is the point where the function crosses the x-axis, found by setting f(x) = 0 and solving for x.

Front

What is the process to solve for x in the equation f(x) = k?

Back

To solve for x in the equation f(x) = k, set the function equal to k and solve the resulting equation for x.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, which means it has a constant rate of change.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall as the input values increase.

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.