Evaluating Functions and Function Notation

The video tutorial introduces function notation and explains how to evaluate functions by substituting inputs into equations. It covers solving for inputs when given outputs and demonstrates using graphs to find function values. The tutorial emphasizes understanding the relationship between inputs and outputs in functions and provides examples to illustrate these concepts.

What is the main objective of learning function notation?

• To graph quadratic functions

• To find the slope of a line

• To evaluate functions when given an input

• To solve linear equations

In function notation, what does f(x) replace in a traditional equation?

• x

• z

• y

• a

If f(x) = 4x - 1, what is f(5)?

• 19

• 20

• 21

• 22

Given f(x) = -4x + 8, what is f(-2)?

• 8

• 16

• 0

• 24

What is the output of f(x) when x = -2 for the function f(x) = -4x + 8?

• 8

• 0

• 24

• 16

If f(x) = -x + 6 and f(x) = 12, what is the value of x?

• -12

• 12

• 6

• -6

For the function f(x) = -x + 6, what value of x gives f(x) = 12?

• -6

• 6

• 12

• -12

How can you find the value of a function using a graph?

• By finding the corresponding y-value for a given x-value

• By calculating the area under the curve

• By looking at the x-intercept

• By identifying the slope

On a graph, if you need to find f(2), what should you do?

• Find the area under the curve at x = 2

• Look at the x-intercept

• Find the y-value corresponding to x = 2

• Calculate the slope at x = 2

If the graph shows that f(6) = -1, what is the y-value when x = 6?

• 1

• -1

• -6

• 6