Evaluating a linear function

The video tutorial explains the concept of a function as a relationship between input and output, using the example F(x) = 3x + 2. It demonstrates how to evaluate this function at different values: x=4, x=2/3, and x=a+1. The tutorial covers the steps to substitute values into the function, perform calculations, and simplify expressions, providing a clear understanding of function evaluation.

What is the value of the function F(x) = 3x + 2 when x is 4?

• 14

• 16

• 12

• 10

How do you convert a whole number to a fraction for multiplication?

• Change it to a fraction with denominator 1

• Multiply by 2

• Add 1 to the number

• Divide by 1

What is the result of F(2/3) for the function F(x) = 3x + 2?

• 3

• 5

• 2

• 4

When evaluating F(a + 1) for F(x) = 3x + 2, what is the first step?

• Subtract 1 from a

• Add 2 to a

• Multiply each term by 3

• Add 1 to a

What is the simplified form of F(a + 1) for the function F(x) = 3x + 2?

• 3a + 2

• 3a + 5

• 3a + 3

• 3a + 4