Function Notation Review

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the function name and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

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

Front

What does f(1) represent in function notation?

Back

f(1) represents the output of the function f when the input is 1.

Front

If g(x) = 3x + 1, what is g(2)?

Back

g(2) = 3(2) + 1 = 7.

Front

What is the output of a function when the input is not in the domain?

Back

The output is undefined or may result in an error, depending on the function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the value of t for H(t) = 4?

Back

To find the value of t for H(t) = 4, set the function equal to 4 and solve for t.

Front

What is the significance of the x-value in f(x)?

Back

The x-value in f(x) is the input for which the function is evaluated, determining the corresponding output.

Front

What does it mean if f(8) = 1?

Back

If f(8) = 1, it means that when the input to the function f is 8, the output is 1.

Front

What is the process to graph a linear function?

Back

To graph a linear function, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.