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6.6 F UNCTION O PERATIONS 6.7 I NVERSE R ELATIONS AND F UNCTIONS Algebra II w/ trig
I. Operations on Functions A. Sum: B. Difference: C. Product: D. Quotient:
II. Find the sum, difference, product, and quotient: A.
III. A. B. Composition of Functions Means: Evaluate g(x) first, then use g(x) as the input for f. Means: Evaluate f(x) first, then use f(x) as the input for g.
IV. Let f(x) = x – 5 and g(x) = x 2 A. (f °g)(-3)B. (f °g)(2) C. (g ° f)(-3)D. (g ° f)(2)
6.7 Inverse Relations and Functions
I. Find the inverse function and graph the function and its inverse. A. f(x) = x + 3 - rewrite f(x) as y - interchange x and y - solve for y - rewrite y as f -1
B. f(x)= 2 / 3 x – 1 C. f(x) = 2x – 3 D. f(x) = 2x + 1 3
Homework Pre-AP p. 401-403 # 9-77 Every other odd p. 410-411 #9-61 Every other odd
7.7 Operations with Functions 7.8 Inverse of Functions Algebra II w/ trig.
13.7 I NVERSE T RIGONOMETRIC F UNCTIONS Algebra II w/ trig.
I.1 ii.2 iii.3 iv.4 1+1=. i.1 ii.2 iii.3 iv.4 1+1=
5.5 Evaluating Logarithms 3/6/2013. Properties of Logarithms Let m and n be positive numbers and b ≠ 1, Product Property Quotient Property Power Property.
Algebra Recap Solve the following equations (i) 3x + 7 = x (ii) 3x + 1 = 5x – 13 (iii) 3(5x – 2) = 4(3x + 6) (iv) 3(2x + 1) = 2x + 11 (v) 2(x + 2)
Operations with Functions Objective: Perform operations with functions and find the composition of two functions.
10.1/10.2 Logarithms and Functions
Notes P.5 – Solving Equations. I. Graphically: Ex.- Solve graphically, using two different methods. Solution – See graphing Calculator Overhead.
1.3 EVALUATING LIMITS ANALYTICALLY. Direct Substitution If the the value of c is contained in the domain (the function exists at c) then Direct Substitution.
3.4 Inverse Functions & Relations
1 The Chain Rule Section After this lesson, you should be able to: Find the derivative of a composite function using the Chain Rule. Find the derivative.
Agenda Lesson: Solving Multi-Step Inequalities Homework Time.
Algebra II w/trig. Logarithmic expressions can be rewritten using the properties of logarithms. Product Property: the log of a product is the sum of the.
5.5 Double Angle Formulas I. Double Angle Formulas. A) B) C)
4.6 Other Inverse Trig Functions. To get the graphs of the other inverse trig functions we make similar efforts we did to get inverse sine & cosine. We.
7-6 Function Operations Objective 2.01
Algebra II 7-4 Notes. Inverses In section 2-1 we learned that a relation is a mapping of input values onto output values. An _______ __________ maps.
6.3 BINOMIAL RADICAL EXPRESSIONS Algebra II w/ trig.
Properties of Logarithmic Functions
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