Functions and inverses - Study guides, Study notes & Summaries
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CALCULUS FINAL EXAM fully solved & updated
- Exam (elaborations) • 17 pages • 2024
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evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 
 
consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 
 
find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J 
 
an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...
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COLLEGE ALGEBRA VOCABULARY QUESTIONS AND ANSWERS 2023
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COLLEGE ALGEBRA VOCABULARY QUESTIONS AND ANSWERS 2023 
RELATION 
a set of ordered pairs 
 
{ (1,78), (2,46), (3,85), (4,69) } 
 
 
 
FUNCTION 
a relation in which each element in the domain corresponds to exactly one element in the range 
 
 
 
DOMAIN 
the set of all x values 
 
 
 
RANGE 
the set of all y values 
 
 
 
INCREASING 
while x vaules increase, the y values increase 
 
 
 
DECREASING 
while x values increase, the y values decrease 
 
 
 
CONSTANT 
the value of increase remains the sa...
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Pre-Calculus/EXPLORING FUNCTIONS TEST 2023
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Pre-Calculus/EXPLORING FUNCTIONS TEST 2023 
 
It is a precalculus multiple question quiz regarding transformations and the inverses of functions
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Grade 11/12 IEB/DBE Functions Notes
- Summary • 29 pages • 2024
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This document has a summary of all the content and techniques needed for the Functions section in the Grade 11/12 IEB/DBE Math exams. The document includes information on the four main functions : straight line graph, parabola, hyperbola and exponential and their inverses. There is also a section on graph interpretation and rules for transformations of graphs.
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Updated CLEP Algebra Test with correct answers 2024
- Exam (elaborations) • 62 pages • 2024
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What do you need to do to add / subtract fractions? - ANSWER-Get a common denominator 
 
How do you multiply fractions? - ANSWER-Multiply numerators and multiply denominators 
 
How do you divide by a fraction / what do you do if you have a fraction in the denominator? - ANSWER-Multiply the entire term by the reciprocal fraction 
 
Compute. 
(1/3) + (7/5) - ANSWER-(1/3) + (7/5) 
(5+21)/15 
= 26/15 
 
Compute. 
[(3x-1) / (x^2-2)] + [1/(x-1)] - ANSWER-[(3x-1) / (x^2-2)] + [1/(x-1)] 
[(3x-1)(x+1) +...
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College Algebra Questions and Answer 100% correct
- Exam (elaborations) • 4 pages • 2023
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College Algebra Questions and Answer 100% correct 
Natural Numbers (Counting Numbers) 
1, 2, 3, 4, 5, 6, 7, 8, 9, etc. 
 
Whole numbers that are not negative. 
 
 
 
Integers 
-3, -2, -1, 0, 1, 2, 3, etc. 
 
These are the natural numbers, their additive inverses (negatives), and 0. 
 
 
 
Rational Numbers 
2/1, 1/3, (-1/4), 22/7, 0, 1.2, etc. 
 
Every integer is a rational number. Rational numbers can be expressed as decimals that either terminate (end) or repeat a sequence of digits. 
 
 
 
Irr...
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College Algebra Questions and Answers 100% correct
- Exam (elaborations) • 4 pages • 2023
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College Algebra Questions and Answers 100% correct 
Natural Numbers (Counting Numbers) 
1, 2, 3, 4, 5, 6, 7, 8, 9, etc. 
 
Whole numbers that are not negative. 
 
 
 
Integers 
-3, -2, -1, 0, 1, 2, 3, etc. 
 
These are the natural numbers, their additive inverses (negatives), and 0. 
 
 
 
Rational Numbers 
2/1, 1/3, (-1/4), 22/7, 0, 1.2, etc. 
 
Every integer is a rational number. Rational numbers can be expressed as decimals that either terminate (end) or repeat a sequence of digits. 
 
 
 
Ir...
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College Algebra questions and answers 100% correct
- Exam (elaborations) • 4 pages • 2023
- Available in package deal
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- R262,72
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College Algebra questions and answers 100% correct 
Natural Numbers (Counting Numbers) 
1, 2, 3, 4, 5, 6, 7, 8, 9, etc. 
 
Whole numbers that are not negative. 
 
 
 
Integers 
-3, -2, -1, 0, 1, 2, 3, etc. 
 
These are the natural numbers, their additive inverses (negatives), and 0. 
 
 
 
Rational Numbers 
2/1, 1/3, (-1/4), 22/7, 0, 1.2, etc. 
 
Every integer is a rational number. Rational numbers can be expressed as decimals that either terminate (end) or repeat a sequence of digits. 
 
 
 
Ir...
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers
- Exam (elaborations) • 4 pages • 2024
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BC Calculus Test 2 Derivative rules and Rectalinear motion Questions and Answers 
 
Derivative Notation 
D(x)f(x) means the derivative wrt x 
With the big bar it means to evaluate at a specific value 
Second derivative is derivative of derivative 
 
 
 
 
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Derivative Rules 
 
 
 
Power rule proof for negative integers 
look at f(x) = x^(-n) as 1/x^n, then use the quotient r...
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IEB math paper 1 notes and summary-grade 11+12
- Summary • 10 pages • 2022
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all paper 1 content - algebra, number patterns, logs, functions, inverses, calculus, finance, probability grade 11 and 12
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