Writing Mathematical Rules of Functions

This lesson covers the basics of functions, including their notation, rules, and importance in mathematics. It explains how to read function notation, provides examples, and demonstrates how to determine function rules using T-charts. The lesson also covers graphing functions, identifying slopes and intercepts, and concludes with a summary of key points.

What is the primary purpose of a function in mathematics?

• To solve equations

• To perform arithmetic operations

• To assign each domain element to exactly one range element

• To assign multiple range elements to a single domain element

In function notation, what does 'f(x)' represent?

• The multiplication of f and x

• The output of the function

• The derivative of the function

• The function name and its input variable

What is the domain variable in the function g(x) = 7?

• None of the above

• g

• 7

• x

How do you determine the function rule from a T-chart?

• By finding a consistent operation that relates domain to range

• By adding the domain and range values

• By dividing the range by the domain

• By subtracting the range from the domain

What is the function rule for k(g) if k(g) = -2g + 1?

• Multiply g by 2 and subtract 1

• Multiply g by 2 and add 1

• Multiply g by -2 and add 1

• Multiply g by -2 and subtract 1

What is the slope of the function f(x) = 1/2x + 1?

• 1/2

• 1

• 0

• 2

In a graph where the range value is always -3.5, what is the function?

• f(x) = -3.5

• f(x) = x - 3.5

• f(x) = x + 3.5

• f(x) = 3.5