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Lesson 1 Operations (reg alg).notebook 1 March 24, 2014 Apr 144:44 PM Bellringer Find the indicated values for f(x) = x 2 + 2x 3 1. f(1) 2. f(2) 3. f(a 2 ) Apr 143:52 PM Operations on Functions Operation Definition Also Means sum(f+g)x = f(x) + g(x) difference(fg)x = f(x) g(x) product(f g)x = f(x) g(x) quotient f(x) = f(x) g g(x) **denominator ≠ 0 6

Lesson 1 Operations (reg alg).notebook...Lesson 1 Operations (reg alg).notebook 1 March 24, 2014 Apr 14 4:44 PM Bellringer Find the indicated values for f(x) = x2 + 2x 3 1. f(1) 2

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Page 1: Lesson 1 Operations (reg alg).notebook...Lesson 1 Operations (reg alg).notebook 1 March 24, 2014 Apr 14 4:44 PM Bellringer Find the indicated values for f(x) = x2 + 2x 3 1. f(1) 2

Lesson 1 Operations (reg alg).notebook

1

March 24, 2014

Apr 14­4:44 PM

Bellringer

Find the indicated values for f(x) = x2 + 2x ­3

1.  f(1)

2.  f(­2)

3.  f(a2)

Apr 14­3:52 PM

Operations on Functions

OperationDefinitionAlso Means

sum(f+g)x  = f(x) + g(x)

difference(f­g)x = f(x) ­ g(x)

product(f g)x  = f(x)   g(x)

quotient    f(x) =    f(x)                 g          g(x) **denominator ≠ 0

6

Page 2: Lesson 1 Operations (reg alg).notebook...Lesson 1 Operations (reg alg).notebook 1 March 24, 2014 Apr 14 4:44 PM Bellringer Find the indicated values for f(x) = x2 + 2x 3 1. f(1) 2

Lesson 1 Operations (reg alg).notebook

2

March 24, 2014

Apr 14­4:27 PM

Example 1: f(x) = 2x2 +4x ­ 6g(x) = 2x ­ 2

Find (f+g)x, (f­g)x, (f  g)x and (f/g)x

Apr 14­4:27 PM

Example 2: f(x) = x + 2g(x) = x2 ­ 4

Find (f+g)x, (f­g)x, (f  g)x and (f/g)x

Page 3: Lesson 1 Operations (reg alg).notebook...Lesson 1 Operations (reg alg).notebook 1 March 24, 2014 Apr 14 4:44 PM Bellringer Find the indicated values for f(x) = x2 + 2x 3 1. f(1) 2

Lesson 1 Operations (reg alg).notebook

3

March 24, 2014

Apr 14­4:27 PM

Example 3: f(x) = 6x2 ­ 13x ­ 5g(x) =6x + 2

Find (f+g)x, (f­g)x, (f  g)x and (f/g)x

Apr 14­4:27 PM

Example 4: f(x) = 4x2 + 3x ­ 1g(x) =2x ­ 3

Find (f+g)x, (f­g)x, (f  g)x 

Page 4: Lesson 1 Operations (reg alg).notebook...Lesson 1 Operations (reg alg).notebook 1 March 24, 2014 Apr 14 4:44 PM Bellringer Find the indicated values for f(x) = x2 + 2x 3 1. f(1) 2

Lesson 1 Operations (reg alg).notebook

4

March 24, 2014

Mar 14­12:59 PM

Assignment:  page 446 #2 ­ 7 ALL