How to solve domain and range
[DOC File]Alg2X – UNIT 2
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A _____ is a relation in which each element of the domain is paired with exactly one element in the range. Look for: The same x-value, but different y-values! This means it is not a function!
[DOC File]Linear Functions
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9) Solve 10) Solve . 11) Solve 12) Solve . 13) The formula for the volume of a cylinder is . Solve the equation for h. How tall is a cylindrical can with a radius 3 cm. and volume 200 ? 14) Find the value of for 15) Find the value of for . 16) Find the value of for 17) Find the value of for . 18) Find the value of for Solve the equation for y.
[DOC File]Worksheet Piecewise Functions
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Chapter 1-2 Review. Part I. Carefully graph each of the following. Then evaluate the function at the specific value. 1. 2. Domain: Range: Domain: Range:
[DOC File]PreCalculus Notes: Functions
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PreCalculus Notes F-4: Domain and Range. The natural domain of a function is the set of values for which the function is defined and real. Defined: Real: Ex: For the function, tell if the following numbers are in the natural domain of f and if not, explain why. a. 0 b. 1 c. 2 d. 3 e. 4. Ex: Find the natural domain of . Ex: Find the domain of .
[DOC File]Functions – Domain and Range
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C. Solve b(x) = 2 for x. D. Solve b(x) = -3 for x. E. What is the domain of function b(x)? F. What is the range of function b(x)? 5. Graph these functions and give the domain and range. A. r(x) = 2x + 3 B. f(x) = -4x2 +4 C. t(x) = 0.4(x – 2)(x + 3)(x + 4) The _____ is a function of the _____ The _____ is the inp ...
[DOC File]Logarithm Worksheet
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Find the domain of the function. 14. f(x) = log10(x + 3) 15. f(x) = log5(8 – 2x) Graph the function, not by plotting points. State the domain, range, and asymptote. 16. f(x) = log2(x-4) 17. y = log3(x-1)-2. 18. y = 1 + ln(-x) 19. Draw the graph of y=4x, then use it to draw the graph of y=log4x. Evaluate the expression.
[DOC File]Domain and Range Worksheet
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Domain and Range Worksheet. Given a function y = f(x), the . Domain. of the function is the set of permissible inputs and the . Range. is the set of resulting outputs. Domains can be found algebraically; ranges are often found algebraically and graphically. Domains and Ranges are sets. Therefore, you must use proper set notation.
[DOC File]Module 1: Introduction to Functions
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Determine whether each of the following relations describes a function with domain and range . a. b. c. SOLUTIONS: a. represents a function because each element in the domain corresponds to exactly one element in the range. b. does not represent a function because the number 1 corresponds to two different elements of the range. c.
[DOC File]Lecture 1:
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domain of a composed function: Make sure to cover both the evaluation aspects (find a formula for , and find , etc) and the ‘how to figure out the domain’ Domain: Start with all real numbers, Figure out what g can’t be, and remove them Then figure out what f can’t be. Figure out what values of . x. will cause . g. to produce those ...
[DOC File]Inverse Functions
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In addition, if on its domain is either or then has an inverse function and is differentiable at all values of in the range of In this case, is given by the formula above. The example below illustrate this important theorem. Example 4: In Example 3, we were given the polynomial function …
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