SE A STORY OF FUNCTIONS Lesson 10 M3 ALGEBRA I Lesson Summary ALGEBRAIC FUNCTION: Given an algebraic expression in one variable, an algebraic function is a function f:D - Y such that for each real number x in the domain D. f(x) is the value found by substituting the number x into all instances of the variable symbol in the algebraic expression and evaluating. The following notation will be used to define functions going forward. If a domain is not specified, it is assumed to be the set of all real numbers. For the squaring function, we say Let f(x) = x². For the exponential function with base 2, we say Let f (x) = 2*. When the domain is limited by the expression or the situation to be a subset of the real numbers, it must be specified when the function is defined. For the square root function, we say Let f(x) = Vx for x 2 0. To define the first 5 triangular numbers, we say Let f (x) = xx+ for 1 < x< 5 where x is an integer. Depending on the context, one either views the statement "f(x) = Vx" as part of defining the function f or as an equation that is true for all x in the domain of f or as a formula. Problem Set 1. Let f(x) = 6x – 3, and let g(x) = 0.5(4)*. Find the value of each function for the given input. 0.54)=0.5 0:5(4)- 0,125 0:5(4)2 m. g(-3) 0.5(4) 0.0078 0.54)=128 9(V2) 0:54)= 3.55 6.5)ニ」 60) - 3 0-3 f(0) j. g(0) a. b. f(-10) k. g(-1) 6610)-3 -60- 66-3 12-3 C. f(2) I. g(2) d. f(0.01) f(11.25) n. g(4) e. f. f(-v2) 60.6)-3 0.06-3 O. g. fG) C(1,25)-3 67.5-3 p. g h. f(1) + f(2) q. g(2) + g(1) f(6) – f(2) bEVa)-3 -8,48-3 i. g(6) – g(2) r. 10-3 EUREKA MATH Lesson 10: Representing, Naming, and Evaluating Functions This work is derived from Eureka Math"and licensed by Great Minds. ©2015 Great Minds. eureka-math.org ALGI-M3-SE-B1-LL0-05.2015
SE A STORY OF FUNCTIONS Lesson 10 M3 ALGEBRA I Lesson Summary ALGEBRAIC FUNCTION: Given an algebraic expression in one variable, an algebraic function is a function f:D - Y such that for each real number x in the domain D. f(x) is the value found by substituting the number x into all instances of the variable symbol in the algebraic expression and evaluating. The following notation will be used to define functions going forward. If a domain is not specified, it is assumed to be the set of all real numbers. For the squaring function, we say Let f(x) = x². For the exponential function with base 2, we say Let f (x) = 2*. When the domain is limited by the expression or the situation to be a subset of the real numbers, it must be specified when the function is defined. For the square root function, we say Let f(x) = Vx for x 2 0. To define the first 5 triangular numbers, we say Let f (x) = xx+ for 1 < x< 5 where x is an integer. Depending on the context, one either views the statement "f(x) = Vx" as part of defining the function f or as an equation that is true for all x in the domain of f or as a formula. Problem Set 1. Let f(x) = 6x – 3, and let g(x) = 0.5(4)*. Find the value of each function for the given input. 0.54)=0.5 0:5(4)- 0,125 0:5(4)2 m. g(-3) 0.5(4) 0.0078 0.54)=128 9(V2) 0:54)= 3.55 6.5)ニ」 60) - 3 0-3 f(0) j. g(0) a. b. f(-10) k. g(-1) 6610)-3 -60- 66-3 12-3 C. f(2) I. g(2) d. f(0.01) f(11.25) n. g(4) e. f. f(-v2) 60.6)-3 0.06-3 O. g. fG) C(1,25)-3 67.5-3 p. g h. f(1) + f(2) q. g(2) + g(1) f(6) – f(2) bEVa)-3 -8,48-3 i. g(6) – g(2) r. 10-3 EUREKA MATH Lesson 10: Representing, Naming, and Evaluating Functions This work is derived from Eureka Math"and licensed by Great Minds. ©2015 Great Minds. eureka-math.org ALGI-M3-SE-B1-LL0-05.2015
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:SEBR
A STORY OF FUNCTIONS
Lesson 10
M3
ALGEBRA I
:atio
Lesson Summary
ALGEBRAIC FUNCTION: Given an algebraic expression in one variable, an algebraic function is a function f:D → Y such
that for each real number x in the domain D. f(x) is the value found by substituting the number x into all instances
of the variable symbol in the algebraic expression and evaluating.
The following notation will be used to define functions going forward. If a domain is not specified, it is assumed to
be the set of all real numbers.
For the squaring function, we say
Let f(x) = x².
For the exponential function with base 2, we say
Let f(x) = 2*.
When the domain is limited by the expression or the situation to be a subset of the real numbers, it must be
specified when the function is defined.
For the square root function, we say
Let f(x) = Vx for x 2 0.
To define the first 5 triangular numbers, we say
Let f (x) =
x(x+1)
x*+2 for 1 < x< 5 where x is an integer.
Depending on the context, one either views the statement "f(x) = x" as part of defining the function f or as an
equation that is true for all x in the domain of f or as a formula.
Problem Set
1. Let f(x) = 6x – 3, and let g(x) = 0.5(4)*. Find the value of each function for the given input.
60) - 3
0-3
0.54)=0.5
f(0)
j. g(0)
a.
0.5(4)- 0,125
0:542
m. g(-3) 0.5(4) 0.0078
0.5(4)=128
g(v2) 0.54)= 3.55
6.5)ニ」
1-
b.
f(-10)
k. g(-1)
6-10)-3
-60-
66-3
12-3
f(2)
I. g(2)
C.
d.
f(0.01)
f(11.25)
n. g(4)
e.
f. f(-v2)
O.
0.06-3
g. fG)
C(1,25)-3
67.5-3
p. g
h. f(1) + f(2)
q. g(2) + g(1)
i. f(6) – f(2) bEva)_3
-8,48-3
g(6) – g(2)
r.
10-3
EUREKA
МАTH
Lesson 10:
Representing, Naming, and Evaluating Functions
S.6
This work is derived from Eureka Math"and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
ALGI-M3-SE-B1-LL0-05.2015
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