Function Notation with word problems (20Q)

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 name of the function and x is the input variable.

Front

If f(x) = x + 2, what is f(5)?

Back

f(5) = 5 + 2 = 7.

Front

What does it mean to evaluate a function?

Back

Evaluating a function means substituting a specific value for the variable in the function and calculating the result.

Front

If g(x) = 3x - 4, what is g(-2)?

Back

g(-2) = 3(-2) - 4 = -6 - 4 = -10.

Front

What is the profit function for selling items?

Back

The profit function is typically represented as P(s) = revenue - costs, where s is the number of items sold.

Front

If P(s) = 0.75s - 20, how much profit is made by selling 40 items?

Back

P(40) = 0.75(40) - 20 = 30 - 20 = 10.

Front

What is the meaning of the term 'input' in function notation?

Back

The input is the value that is substituted into the function to calculate the output.

Front

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

Back

h(3) = 3^2 + 1 = 9 + 1 = 10.

Front

What is the output of a function?

Back

The output is the result obtained after substituting the input value into the function.

Front

If f(x) = 2x + 5, what is f(-1)?

Back

f(-1) = 2(-1) + 5 = -2 + 5 = 3.