Evaluating Functions and Function Notation

The video tutorial covers function notation and evaluating functions using equations and graphs. It includes examples of calculating function values, solving for x in functions, and a word problem involving estimating height from femur length. The tutorial also demonstrates how to evaluate functions using graphs.

What is the main objective of this video?

• To learn about derivatives

• To evaluate functions given equations and graphs

• To understand integrals

• To solve linear equations

If f(x) = 8 - 3x, what is f(4)?

• -4

• 4

• 8

• 12

Given g(x) = x^2 + 2x, what is g(-5)?

• 15

• -25

• -15

• 25

What is the result of 3 times h(2) minus f(-9) if h(x) = -5/2x - 1 and f(x) = 8 - 3x?

• -53

• 53

• 35

• -35

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

• -3/5

• 3/5

• -5/3

• 5/3

Given h(x) = -5/2x - 1 and h(x) = 39, what is x?

• 16

• 8

• -16

• -8

What does h(46) represent in the context of the anthropologists' word problem?

• The height of a female with a femur length of 46 cm

• The height of a male

• The age of a person

• The length of a femur

If a graph shows f(x) and you need to find f(-3), what are you looking for?

• The slope of the graph at x = -3

• The y-coordinate when x is -3

• The intercept of the graph

• The x-coordinate when y is -3

On a graph, if f(0) = 5, what is the y-coordinate when x is 0?

• 0

• 5

• -5

• 10

If f(2) = -3 on a graph, what is the y-coordinate when x is 2?

• -2

• -3

• 2

• 3