Function Notation with Graphs

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols. For example, f(x) represents the function f evaluated at the input x.

Front

What does f(x) < g(x) mean?

Back

It means that the value of the function f at x is less than the value of the function g at x.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

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

Back

The x-value is the input for the function, determining the output value based on the function's rule.

Front

What does it mean if f(8) > g(8)?

Back

It means that the output of function f at x=8 is greater than the output of function g at the same x-value.

Front

How can you determine where two functions intersect on a graph?

Back

Two functions intersect where their output values are equal, meaning f(x) = g(x) for the same x-value.

Front

What is the graphical representation of a function?

Back

A graphical representation of a function is a visual plot of all the input-output pairs (x, f(x)) on a coordinate plane.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the corresponding y-values (outputs) also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the x-values increase, the corresponding y-values (outputs) decrease.

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.