Functions FA LT 1-5

Functions FA LT 1-5

By Sarah Rhodes

1.1 I can evaluate a function. KY.HS.F.1 b

1.2 I can identify key points of a graph. KY.HS.F.1 c

1.3 I can make a complete graph. KY.HS.F.4

​​LT 1-3 Evaluating and Graphing

1.4 I can find the domain of a function. KY.HS.F.1d

1.5 I can find the range of a function. KY.HS.F.1d

LT 4-5 Domain and Range

​Directions:

​The following slides will check your understanding of Learning Targets 1-5. It is okay if you don't understand 100%. This is an opportunity to see what you need to work on or what we need to help you with.

Multiple Choice

What does it mean to evaluate a function?

• Find out what a function equals

• Look at a function to get information about it

• Substitute the given information and simplify

• None of these

Multiple Choice

Evaluate the function $$f\left(x\right)=\frac{1}{2}x-1$$  if x=-3.

• -2.5

• 0.5

• -4

• None of these

Multiple Choice

Evaluate g(-2) if $$g\left(x\right)=3x^2-5x+4$$  

• 11

• 8

• 26

• 6

Multiple Choice

Find the value of x if h(x) = 1/2 and $$h\left(x\right)=2x-4$$  

• x = -3

• x = 5

• x = -2

• x = 2.25

Open Ended

Explain how you would find the answer(s) to this problem.

Poll

How do you feel about evaluating functions?

• 1 - still trying to figure it out, need help

• 2 - getting there, got it but need more lessons and/or practice

• 3 - almost there, still make some mistakes or need more practice

• 4 - I got this! I can do this without help

Open Ended

What are key points? List the types of key points.

Open Ended

List the key points. For each key point, list what makes it a key point. Estimate location of key points that are not already highlighted on the graph.

Multiple Choice

What kind of key point is (4,-2816)?

• x-intercept

• end point

• vertex

• y-intercept

Draw

Graph $$f\left(x\right)=\sqrt[]{x-5}-4$$   and make your key points stand out.

Poll

How do you feel about finding key points on the graph?

• 1 - still trying to figure it out, need help

• 2 - getting there, got it but need more lessons and/or practice

• 3 - almost there, still make some mistakes or need more practice

• 4 - I got this! I can do this without help

Open Ended

What does every graph need to be considered a complete graph?

Draw

Make a complete graph of $$y=2\cdot3^x$$  with at least 5 points.

Poll

How do you feel about making a complete graph?

• 1 - still trying to figure it out, need help

• 2 - getting there, got it but need more lessons and/or practice

• 3 - almost there, still make some mistakes or need more practice

• 4 - I got this! I can do this without help

Open Ended

Define Domain in your own words.

Multiple Choice

What is the domain for this function?

• [-3, 1)

• (-3, 1]

• [-2, 4)

• (-2, 4]

Open Ended

Explain how you would find the domain of $$f\left(x\right)=3x^2-7x-6$$  

Poll

How do you feel about finding the domain of a function?

• 1 - still trying to figure it out, need help

• 2 - getting there, got it but need more lessons and/or practice

• 3 - almost there, still make some mistakes or need more practice

• 4 - I got this! I can do this without help

Open Ended

Define Range in your own words.

Multiple Choice

What is the range for this function?

• [-3, 1)

• (-3, 1]

• [-2, 4)

• (-2, 4]

Open Ended

Explain how you would find the range of $$f\left(x\right)=3x^2-7x-6$$  

Poll

How do you feel about finding the range of a function?

• 1 - still trying to figure it out, need help

• 2 - getting there, got it but need more lessons and/or practice

• 3 - almost there, still make some mistakes or need more practice

• 4 - I got this! I can do this without help