Evaluating Function Notation in Algebra

What is a function in mathematical terms?

• A relation where each input maps to exactly one output

• A relation where outputs are not related to inputs

• A relation where each input maps to multiple outputs

• A relation where inputs and outputs are the same

What is the purpose of function notation?

• To replace variables with numbers

• To organize and interpret functions more easily

• To make calculations more complex

• To eliminate the need for graphs

In the example y = -5x + 2, what is the output when x = -1?

• 5

• -3

• 2

• 7

Why does the relation y = -5x + 2 qualify as a function?

• Because it passes the horizontal line test

• Because it is a linear equation

• Because it has a unique output for each input

• Because it has multiple outputs for each input

What does the vertical line test determine?

• If a graph is linear

• If a graph is continuous

• If a graph is a function

• If a graph has multiple outputs

What does f(x) represent in function notation?

• The input variable

• The output variable

• The product of f and x

• The name of the function rule

How do you read f(x) in function notation?

• f of x

• f plus x

• f times x

• f divided by x

In a mapping diagram, what does the domain represent?

• The output values

• The range

• The input values

• The function rule

If f(t) represents the temperature t hours after 6 am, what does f(0) = 58 mean?

• The temperature at 6 am is 58 degrees Fahrenheit

• The temperature at 6 pm is 58 degrees Fahrenheit

• The temperature at noon is 58 degrees Fahrenheit

• The temperature at 3 pm is 58 degrees Fahrenheit

What can be inferred if f(3) < f(9) in the context of temperature?

• The temperature at 9 am is higher than at 3 pm

• The temperature at 3 pm is higher than at 9 am

• The temperature at 3 pm is lower than at 9 am

• The temperature at 6 am is higher than at 3 pm