FinalRev - FALL 2009, MAP 103 ALGEBRA, FINAL REVIEW (1)...

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FALL 2009, MAP 103 ALGEBRA, FINAL REVIEW(1) Expressyas a function ofxfor the expression: log3y= 2 + 4 log3(2x).(2) Supposef(x) =x+ 1, g(x) = 2x-1,andh(2) = 3.Findfgh(2).(3) Letf(x) =12x-13.Write a formula for the inverse and check thatff-1(x) =x.(4) Determine if the following are true or false. CircleTfor true orFfor false. If false, providea counter-example.(a)T|F: log(a+b) = log(a) + log(b) fora, b0(b)T|F: 2x·2x= 22x(c)T|F: logrx2y3z4!=12[log(2x) + log(3y)-log(4z)](d)T|F: log(ab) = log(a) log(b) fora, b0(5) Evaluate: log22 + log22 + log222+ log 212.(6) Letf(x) =x2+ 6x+ 9.(a) What are the coordinates for the vertex?(b) How many values ofxsatisfy the equationf(x) = 0?(c) What is the equation of the line that passes through the vertex that has slope 0?(d) What is the new equation forf(x) after the transformationf(x+ 1) + 1?(7) A catapult launches a rock into the air. The motion of the rock is modeled by the equationm(t) =-1000t2+18000t+26000.Suppose that down range there is a castle with a defensivewall 108,000 feet high.
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Chapter 3 / Exercise 94
Elementary and Intermediate Algebra: Algebra Within Reach
Larson
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Term
Fall
Professor
Staff
Tags
Rational function, following problem, 000 feet, 200 000 feet
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Elementary and Intermediate Algebra: Algebra Within Reach
The document you are viewing contains questions related to this textbook.
Chapter 3 / Exercise 94
Elementary and Intermediate Algebra: Algebra Within Reach
Larson
Expert Verified

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