Understanding Functions and Evaluations

The video tutorial introduces the concept of functions, explaining that each input (X) has a unique output (Y). It demonstrates how to evaluate functions using examples, such as F of -3 and F of 2, by substituting values into given function expressions. The tutorial also covers how to use a table to evaluate functions and find ordered pairs, emphasizing the substitution method to solve for outputs.

What is a function in mathematical terms?

• A relation where each input has multiple outputs

• A relation where each input has exactly one output

• A relation where outputs are greater than inputs

• A relation where inputs are always positive

If f(x) = 2x + 1, what is f(-3)?

• -5

• 5

• -7

• 7

In the function f(x) = x - 4, what is the output when the input is 2?

• -4

• 0

• -2

• 2

What is the result of substituting x = 2 in the function f(x) = x - 4?

• 4

• -2

• 2

• 0

How do you evaluate a function using a table of values?

• By adding all input values

• By substituting the input values into the function rule

• By multiplying inputs and outputs

• By guessing the output

What is the output of f(x) = x + 5 when x = 3?

• 8

• 10

• 5

• 3

In a function table, what does the first number in parentheses represent?

• The output

• The input

• The sum of input and output

• The difference between input and output