Math 105, Sample questions from old tests
... a) What is the domain of f ? What is the domain of g ? b) Are the functions one-to-one? Briefly justify your answers (a graph using what you know of function transformations is fine.) c) Find the inverse function of f (x) and g (x ) . d) Use the Inverse Function Property to show that f (x) and the f ...
... a) What is the domain of f ? What is the domain of g ? b) Are the functions one-to-one? Briefly justify your answers (a graph using what you know of function transformations is fine.) c) Find the inverse function of f (x) and g (x ) . d) Use the Inverse Function Property to show that f (x) and the f ...
Pre-requisite Skills Review Sheets
... 53 5 5 5 In this problem, 5 is called the base and 3 is its exponent. 4a 3 4 a a a Note in this problem that 3 is the exponent of base a , not the 4. (4a)3 4a 4a 4a However in this example the 4 is included in the repeated multiplication. Both 4 and a are bases to exponent 3. ...
... 53 5 5 5 In this problem, 5 is called the base and 3 is its exponent. 4a 3 4 a a a Note in this problem that 3 is the exponent of base a , not the 4. (4a)3 4a 4a 4a However in this example the 4 is included in the repeated multiplication. Both 4 and a are bases to exponent 3. ...
Function Notation & Evaluating Functions
... to What is happening to each number in theWhat domain to get the x to get the corresponding number in the range? ...
... to What is happening to each number in theWhat domain to get the x to get the corresponding number in the range? ...
ITrig 2.4 - Souderton Math
... equation and we have called it a parabola. Here are some characteristics. 1. The domain is all real numbers, and the range is either (, max) or (min, ) . 2. If the coefficient of x 2 is positive, it opens up and if the coefficient is negative, it opens down. 3. It can have zero, one, or two x-in ...
... equation and we have called it a parabola. Here are some characteristics. 1. The domain is all real numbers, and the range is either (, max) or (min, ) . 2. If the coefficient of x 2 is positive, it opens up and if the coefficient is negative, it opens down. 3. It can have zero, one, or two x-in ...
Section 1.7: Properties of Real Numbers
... A term is a number, a variable, or a product or quotient of numbers and variables raised to powers. Like terms are terms with exactly the same variables and exponents (but possibly different coefficients), and can be combined using addition or subtraction into a single term. Number trick examp ...
... A term is a number, a variable, or a product or quotient of numbers and variables raised to powers. Like terms are terms with exactly the same variables and exponents (but possibly different coefficients), and can be combined using addition or subtraction into a single term. Number trick examp ...
Radicals and Complex Numbers Louisiana
... composite number a natural number that is a multiple of two numbers other than itself and 1 surd an irrational number that can be expressed as a radical ...
... composite number a natural number that is a multiple of two numbers other than itself and 1 surd an irrational number that can be expressed as a radical ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.