Provide an appropriate response.Explain why the domain of the logarithmic function y = log2x does not include negative numbers.

What will be an ideal response?


If y = log2x, then 2y = x. There is no real number y such that 2y equals a negative number.

Mathematics

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Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -2 and b = -1f(x) = 3x5 - 9x3 - 9x2 + 5

A. f(-2 ) and f(-1) have opposite signs, therefore the function f does not have a real zero between -2 and -1. B. f(-2 ) and f(-1) have the same sign, therefore the function f has a real zero between -2 and -1. C. f(-2 ) and f(-1) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between -2 and -1. D. f(-2 ) and f(-1) have opposite signs, therefore the function f has a real zero between -2 and -1.

Mathematics

Perform the indicated operation.90.7 kl ÷ 0.5

A. 18.14 kl B. 181.4 kl C. 1814 kl D. 45.35 kl

Mathematics

Find the distance between the pair of points on the number line. ,   

A.
B.
C.
D.

Mathematics

Use substitution to determine whether the system of linear equations has no solutions, one solution, or infinitely many solutions.3x = y + 36x - 2y = 3

A. Infinitely many B. No solutions C. One

Mathematics