Explanation Given: The function p ( x ) = 3 x 2 + 4 x − 2 Formula used: For evaluating a function, Replace each variable by its numerical value. Put parentheses around the value. Carry out each step using correct order of operations. Calculation: Consider the following function, p ( x ) = 3 x 2 + 4 x − 2 Now to find p ( − 5 ) substitute x = − 5 and simpli

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

8th Edition

ISBN: 9780137553464

Author: John Tobey, Jeffrey Slater

Publisher: PEARSON+

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Chapter 10.1, Problem 14E

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To Calculate: The value of p(−5) for the given function.

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Chapter 10.1, Problem 13E

Chapter 10.1, Problem 15E

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1. (20 pts) Determine whether the following statements are true (T) or false (F)? (A reasoning is required.) (1) Let V be the set of all ordered pairs of real numbers. Consider the following addition and scalar multiplication operations on u = u= (u1, u2) and v = (v1, v2): u + v = (U₁ + V₁, U₂ + v₂), ku = (ku₁, u₂). Is V a vector space under the above operations? U2 (2) The set Mmxn of all m×n matrices with the usual operations of addition and scalar multiplication is a vector space. α (3) The dimension of the vector space of all matrices A = [a b] in R2×2 with a+d=0 is 4. (4) The coordinate vector of p(x) = 2-x+x² in P3 relative to the basis S = {1, 1+x, x + x2} is [4 -2 1]. (5) If a 6×4 matrix A has a rank 3, then the dimension of N(A) is 3.

5. (20%) The linear transformation L: P3 → P2 defined by L(f(x)) = f'(x)+ f(0). (a) Find the representing matrix A of L with respect to the ordered basis {x2, x, 1} for P3, and the ordered basis {2,1 - x} for P2. (b) Find the coordinates of the f(x) = 2x² +2 in P3 with respect to the ordered basis {x2,-x, 1}, and find the coordinates of L(f(x)) with respect to the ordered basis {2,1-x}

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Chapter 10 Solutions

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.1 - Prob. 33E Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Prob. 43E Ch. 10.1 - Prob. 44E Ch. 10.1 - Prob. 45E Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Prob. 49E Ch. 10.1 - Prob. 50E Ch. 10.1 - If , find each of the following function values to...Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 1QQ Ch. 10.1 - Prob. 2QQ Ch. 10.1 - Prob. 3QQ Ch. 10.1 - Prob. 4QQ Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Prob. 27E Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 1QQ Ch. 10.2 - Prob. 2QQ Ch. 10.2 - Prob. 3QQ Ch. 10.2 - 4. Concept Check Explain how you can use a...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - For the following functions, find (a) ( f + g ) (...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - For the following functions, find (a) and (b)...Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Let , and . Find the following: 24. Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - Prob. 29E Ch. 10.3 - Prob. 30E Ch. 10.3 - Prob. 31E Ch. 10.3 - Prob. 32E Ch. 10.3 - Prob. 33E Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Prob. 37E Ch. 10.3 - Prob. 38E Ch. 10.3 - Prob. 39E Ch. 10.3 - Prob. 40E Ch. 10.3 - Prob. 41E Ch. 10.3 - Prob. 42E Ch. 10.3 - Prob. 43E Ch. 10.3 - Prob. 44E Ch. 10.3 - Prob. 45E Ch. 10.3 - Prob. 46E Ch. 10.3 - Prob. 47E Ch. 10.3 - Prob. 48E Ch. 10.3 - Prob. 49E Ch. 10.3 - Prob. 50E Ch. 10.3 - Prob. 51E Ch. 10.3 - Prob. 52E Ch. 10.3 - Prob. 53E Ch. 10.3 - Prob. 54E Ch. 10.3 - Prob. 55E Ch. 10.3 - Prob. 56E Ch. 10.3 - Prob. 57E Ch. 10.3 - Prob. 58E Ch. 10.3 - Factor each of the following: [5.5.2] 3 x 2 − 7 x...Ch. 10.3 - Prob. 1QQ Ch. 10.3 - Prob. 2QQ Ch. 10.3 - Prob. 3QQ Ch. 10.3 - Prob. 4QQ Ch. 10.4 - Prob. 1E Ch. 10.4 - Prob. 2E Ch. 10.4 - Prob. 3E Ch. 10.4 - Prob. 4E Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.4 - Prob. 7E Ch. 10.4 - Prob. 8E Ch. 10.4 - Prob. 9E Ch. 10.4 - Prob. 10E Ch. 10.4 - Prob. 11E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 13E Ch. 10.4 - Prob. 14E Ch. 10.4 - Prob. 15E Ch. 10.4 - Prob. 16E Ch. 10.4 - Prob. 17E Ch. 10.4 - Prob. 18E Ch. 10.4 - Prob. 19E Ch. 10.4 - Prob. 20E Ch. 10.4 - Prob. 21E Ch. 10.4 - Prob. 22E Ch. 10.4 - Prob. 23E Ch. 10.4 - Prob. 24E Ch. 10.4 - Prob. 25E Ch. 10.4 - Prob. 26E Ch. 10.4 - Prob. 27E Ch. 10.4 - Prob. 28E Ch. 10.4 - Prob. 29E Ch. 10.4 - Prob. 30E Ch. 10.4 - Prob. 31E Ch. 10.4 - Prob. 32E Ch. 10.4 - Prob. 33E Ch. 10.4 - Prob. 34E Ch. 10.4 - Prob. 35E Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Prob. 40E Ch. 10.4 - Prob. 41E Ch. 10.4 - Prob. 42E Ch. 10.4 - Prob. 43E Ch. 10.4 - Prob. 44E Ch. 10.4 - Prob. 1QQ Ch. 10.4 - Prob. 2QQ Ch. 10.4 - Prob. 3QQ Ch. 10.4 - Prob. 4QQ Ch. 10 - Prob. 1RP Ch. 10 - Prob. 2RP Ch. 10 - Prob. 3RP Ch. 10 - Prob. 4RP Ch. 10 - Prob. 5RP Ch. 10 - Prob. 6RP Ch. 10 - Prob. 7RP Ch. 10 - Prob. 8RP Ch. 10 - Prob. 9RP Ch. 10 - Prob. 10RP Ch. 10 - Prob. 11RP Ch. 10 - Prob. 12RP Ch. 10 - Prob. 13RP Ch. 10 - Prob. 14RP Ch. 10 - Prob. 15RP Ch. 10 - Prob. 16RP Ch. 10 - Prob. 17RP Ch. 10 - Prob. 18RP Ch. 10 - Prob. 19RP Ch. 10 - Prob. 20RP Ch. 10 - Prob. 21RP Ch. 10 - Prob. 22RP Ch. 10 - Prob. 23RP Ch. 10 - Prob. 24RP Ch. 10 - Prob. 25RP Ch. 10 - Prob. 26RP Ch. 10 - Prob. 27RP Ch. 10 - Prob. 28RP Ch. 10 - Prob. 29RP Ch. 10 - Prob. 30RP Ch. 10 - Prob. 31RP Ch. 10 - Prob. 32RP Ch. 10 - Prob. 33RP Ch. 10 - Prob. 34RP Ch. 10 - Prob. 35RP Ch. 10 - Prob. 36RP Ch. 10 - Prob. 37RP Ch. 10 - Prob. 38RP Ch. 10 - Prob. 39RP Ch. 10 - Prob. 40RP Ch. 10 - Prob. 41RP Ch. 10 - Prob. 42RP Ch. 10 - Prob. 43RP Ch. 10 - Prob. 44RP Ch. 10 - Prob. 45RP Ch. 10 - Prob. 46RP Ch. 10 - Prob. 47RP Ch. 10 - Prob. 48RP Ch. 10 - Prob. 1T Ch. 10 - Prob. 2T Ch. 10 - Prob. 3T Ch. 10 - Prob. 4T Ch. 10 - Prob. 5T Ch. 10 - Prob. 6T Ch. 10 - Prob. 7T Ch. 10 - Prob. 8T Ch. 10 - Prob. 9T Ch. 10 - Prob. 10T Ch. 10 - Prob. 11T Ch. 10 - Prob. 12T Ch. 10 - Prob. 13T Ch. 10 - Prob. 14T Ch. 10 - Prob. 15T Ch. 10 - Prob. 16T Ch. 10 - Prob. 17T Ch. 10 - Prob. 18T Ch. 10 - Prob. 19T Ch. 10 - Find f ( x + h ) − f ( x ) h for f ( x ) = 7 − 8 x

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The value of p ( − 5 ) for the given function.

Solution Summary: The author explains how to calculate the value of p(-5) for the given function.

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To Calculate: The value of p(−5) for the given function.

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Chapter 10 Solutions