Evaluating Functions and Function Notation

This video tutorial covers the basics of function notation, explaining how equations representing functions are written and evaluated. It includes examples of substituting values into functions, using different letters for functions, and solving complex function problems. The tutorial also applies function evaluation to a real-world problem involving anthropological measurements and demonstrates how to evaluate functions using graphs.

What is the function notation for the equation y = 4x - 1?

• f(x) = 4x + 1

• f(x) = 4x - 1

• f(y) = 4x - 1

• y = 4x - 1

In function notation, what is the term used to describe the input variable?

• Independent variable

• Range

• Output

• Dependent variable

If f(x) = 4x - 1, what is f(-7)?

• 29

• 28

• -29

• -28

Given f(x) = x + 7, what is f(5)?

• 12

• 13

• 10

• 11

If h(x) = (2/3)x - 1, what is h(9)?

• 5

• 6

• 7

• 8

For the function f(x) = 2x^2 + 4x - 9, what is f(-5)?

• 18

• 19

• 20

• 21

If g(x) = |x| - x^2, what is g(-7)?

• 56

• -56

• 49

• -49

If f(x) = 8 - 3x and f(x) = -13, what is x?

• 8

• 7

• 6

• 5

Given the function h(x) = 61.41 + 2.32x, what is h(46)?

• 168.13

• 170.13

• 171.13

• 169.13

If the x-value is -3 on a graph, and the corresponding y-value is 2, what is the ordered pair?

• (3, -2)

• (-3, 2)

• (3, 2)

• (-3, -2)