Function Notation

Front

What is function notation?

Back

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

Front

If f(x) = 2x + 1, what is f(4)?

Back

f(4) = 2(4) + 1 = 9.

Front

What does it mean to evaluate a function at a specific value?

Back

Evaluating a function at a specific value means substituting that value into the function's equation to find the corresponding output.

Front

What is the output of b(x) = 3x - 5 when x = 2?

Back

b(2) = 3(2) - 5 = 1.

Front

How do you denote a function that takes an input x and produces an output y?

Back

You denote it as y = f(x), where f is the function.

Front

What is the relationship between f(x) and y?

Back

f(x) is another way to express y, meaning y is the output of the function f when the input is x.

Front

If g(x) = x^2, what is g(-3)?

Back

g(-3) = (-3)^2 = 9.

Front

What is the purpose of function notation in mathematics?

Back

Function notation provides a clear and concise way to express relationships between variables and to perform calculations.

Front

If h(x) = x + 4, what is h(0)?

Back

h(0) = 0 + 4 = 4.

Front

What does it mean for a function to be linear?

Back

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