1) Evaluate the expressions for x=5: - 3x + 6 = 21 - Leave blank - x^2 + 4 = 29 2) The document discusses function notation and evaluating functions for given inputs. It provides examples of finding outputs for different functions like f(x)=3x+6 and f(x)=x^2+4 when given inputs. 3) Students are asked to complete tables with inputs and outputs for functions, identify which column is the input and output, and solve for missing values. The document concludes with asking students to design opener questions for future classes reviewing topics like basic function evaluation and input-output problems.

1. Opener: Evaluate each of the following expressions for x=5.
1.) 3x + 6
2.)
3.) x2 +4
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2. 3.24 & 3.25 An Introduction to Function Notation
Think Back
shhhh.....just think!
Think of a linear equation that you have seen this year.
Now, write down your equation.
How many solutions are there to this equation?
Graphing on the Graph your equation on the Nspire.
Nspire
On the calculator we said f(x) meant the same thing as
what ?
Why does it say f1 (x) = .....?
How will we represent different functions on paper?
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3. Topic One:
Function Basics
(Ex. 1) Find f(4) if f(x)= 3x+6.
(Ex. 2) Find g(13) if g(x)=
Think‐ Pair‐ Share
(Ex. 3)
Find h(7) if h(x)=x2+4.
(Ex. 4) Find f(‐2) if f(z)= |3z + 1|
(Ex. 5) Find f( ) if f (p) = 4(p ‐ 2).
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4. Topic Two:
Input‐Output Values
(Ex. 6) Given the function f(x) = x4 ‐ 5 and our knowledge
about exponents, label which column you think is the
input and which is the output.
What value belongs in the third input box? How might
we solve for that value?
If we were given the input value instead, how would we
solve for the output value?
It's Your Turn! Use the function f(x) = ‐2x + 5 to complete the table
(Ex. 7) with your partner.
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6. Exit Slip: I need your help to come up with a STELLAR opener for
Design an Opener. next class.
With your group, please write 2 questions that can be
used as an opener in future classes. These questions
should review topics we discussed today: basic
evaluation of functions and problems dealing with
input‐output values of functions. The questions may be
similar in nature to what we did today, or may challenge
your classmates beyond the scope of today's lesson.
Remember that I will be collecting these, and they will
serve as a part of your group assignment grade.
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8. Homework: Evaluating Functions Worksheet
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