Identifying and Evaluating Functions in 2 7 Notes

The video tutorial covers identifying and evaluating functions, starting with basic vocabulary such as relations, domain, and range. It explains what makes a relation a function, using ordered pairs, tables, and mapping diagrams. The vertical line test is introduced for graph analysis. Function notation is explained, and examples are provided to practice identifying and evaluating functions. The tutorial concludes with an application example and assignment instructions.

What is the domain in a function?

• All the y-values

• All the ordered pairs

• All the x-values

• All the outputs

Which of the following is true about a function?

• Each output corresponds to one and only one input

• Each output can have multiple inputs

• Each input can have multiple outputs

• Each input corresponds to one and only one output

In a mapping diagram, what indicates that a relation is not a function?

• Multiple arrows pointing to the same y-value

• Multiple arrows coming from the same x-value

• No arrows at all

• Arrows pointing to different x-values

What does the vertical line test determine?

• If a graph is a function

• If a graph is continuous

• If a graph is linear

• If a graph is quadratic

What does f(x) represent in function notation?

• The slope of the function

• The output of the function

• The input of the function

• The intercept of the function

How do you evaluate the function f(x) = 2x + 1 for x = 2?

• f(2) = 2 * 2 + 1

• f(2) = 2 / 2 + 1

• f(2) = 2 + 1

• f(2) = 2 * 2 - 1

What is the result of evaluating the function h(t) = 9t - 17 for t = 4?

• 17

• 9

• 19

• 36

When plugging in a negative number to be squared, what must you remember to do?

• Add the number first

• Subtract the number first

• Use parentheses

• Ignore the negative sign

If the input is 3, what is the output in the table provided?

• 3

• Negative 3

• 6

• 9

What does it mean if Denise is two miles from home after one and seven hours of riding?

• She is riding in a straight line

• She is riding in a circle

• She is riding away and then returning home

• She is riding at a constant speed