Stitz-Zeager_College_Algebra_e-book

To verify this analytically we would need to verify

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Unformatted text preview: −2 −1 −1 1 1 2 3 4 5 6 x −2 −2 −1 −1 1 2 3 4 5 6 −2 −3 −4 y = f (x) = 3x+2 − 4 y = f −1 (x) = log3 (x + 4) − 2 y = f (x) = log4 (x − 1) y = f −1 (x) = 4x + 1 x 1 2, 2 346 Exponential and Logarithmic Functions (c) f (x) = −2−x + 1 f −1 (x) = − log2 (1 − x) (d) f (x) = 5 log(x) − 2 x+2 f −1 (x) = 10 5 y y 5 2 4 3 1 2 −2 −1 1 2 x −1 −2 1 −4 −3 −2 −1 −1 1 2 3 4 5 x −2 −3 y = f (x) = −2−x + 1 y = f −1 (x) = − log2 (1 − x) −4 y = f (x) = 5 log(x) − 2 y = f −1 (x) = 10 6. (a) x+2 5 0.001 = log(1) = 0. 0.001 80, 000 ii. M (80, 000) = log = log(80, 000, 000) ≈ 7.9. 0.001 i. M (0.001) = log (b) i. L(10−6 ) = 60 decibels. ii. I = 10−.5 ≈ 0.316 watts per square meter. iii. Since L(1) = 120 decibels and L(100) = 140 decibels, a sound with intensity level 140 decibels has an intensity 100 times greater than a sound with intensity level 120 decibels. (c) i. The pH of pure water is 7. ii. If [H+ ] = 6.3 × 10−13 the...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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