Exploring Function Notation in Relations and Functions

This video tutorial covers the concept of function notation, explaining how to interpret and evaluate functions using substitution. It demonstrates graphing function values and provides examples of evaluating functions with both positive and negative values. The tutorial also explores working with two functions simultaneously and introduces the concept of function composition, emphasizing the importance of evaluating the inner function first.

What does f(x) represent in function notation?

• A function of x

• x divided by f

• f times x

• f plus x

How do you evaluate the function f(x) = 5x + 35 at x = -1?

• f(-1) = 5(-1) - 35 = 40

• f(-1) = 5(-1) - 35 = -40

• f(-1) = 5(-1) + 35 = -30

• f(-1) = 5(-1) + 35 = 30

What is the result of evaluating f(x) = 5x + 35 at x = 3?

• f(3) = 15

• f(3) = 35

• f(3) = 50

• f(3) = 20

When evaluating f(x) = 5x + 35 at x - 3, what is the resulting function?

• 5x - 20

• 5x + 20

• 5x - 15

• 5x + 35

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

• 0

• 2

• 6

• 4

Evaluate f(x) = -x + 2 at x = 0.

• 2

• 0

• 1

• 3

What is the value of f(3) for the function f(x) = -x + 2?

• -1

• 2

• 0

• 1

For f(x) = -x + 4 and g(y) = (2/3)y + 5, what is f(-5)?

• 1

• 3

• 7

• 9

What is the result of 7 times f(8) for f(x) = -x + 4?

• -28

• 28

• 56

• -56

In the composition of functions, if f(x) = -x + 4 and g(y) = (2/3)y + 5, what is f(g(2))?

• -7/3

• 19/3

• 7/3

• -19/3