Evaluating Functions with Function Notation

What is the definition of a function in terms of input and output?

• Inputs and outputs in a function are not related.

• A function allows multiple outputs for one input.

• Each input in a function can have exactly one corresponding output.

• A function can have repeating x-values with different outputs.

What real-life example is used to explain a function machine?

• A computer

• A television

• A vending machine

• A car engine

What does 'f of x' represent in function notation?

• The input of the function

• The type of function

• The output of the function

• The variable used in the function

If f(x) = 3x + 4, what is f(2)?

• 10

• 8

• 6

• 4

What does the function f(x) = 3x + 4 output when x = -1?

• 2

• 1

• -1

• 3

Why are different names (like f and g) used for functions?

• To confuse the students

• Because it's a mathematical rule

• To differentiate between functions when calculating

• To indicate different types of operations

What should you do if you're inputting a negative number into a function?

• Multiply by -1

• Add zero

• Subtract it from 100

• Use parentheses

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

• 3

• 4

• 6

• 5

What is the output of the function f(x) = x^2 + 3 when x = 3?

• 9

• 12

• 6

• 3

What is the primary purpose of using function notation in mathematics?

• To confuse the calculation process

• To make it easier to plot graphs

• To represent relationships between variables clearly

• To simplify the writing of equations