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In each part below, use the information about the function to answer the questions. Note-See the examples in the pdf called Differentiability Examples, posted in 2.6 in D2L. (a) f(x) is a decreasing function, continuous everywhere, and has a vertical tangent at x = 6. lim 6+ h) - f(6) h-0 (6 + h) - (6) lim h-0 (b) g(x) is increasing for x<9 and deereasing x> 9, continuous everywhere, and has a cusp at x 9. lim 9(9+ h) - p(9) lim 2(9+ h) - o(9) (c) P(x) is continuous everywhere, lim P-4 + h) – p(-4). - -7, and lim P(-4 + h) – p(-4) -2 4. p(x) has a comer p'(x) is undefined and has a jump V in its graph at x-4. in its graph at x- -4

In each part below, use the information about the function to answer the questions. Note-See the examples in the pdf called Differentiability Examples, posted in 2.6 in D2L. (a) f(x) is a decreasing function, continuous everywhere, and has a vertical tangent at x = 6. lim 6+ h) - f(6) h-0 (6 + h) - (6) lim h-0 (b) g(x) is increasing for x<9 and deereasing x> 9, continuous everywhere, and has a cusp at x 9. lim 9(9+ h) - p(9) lim 2(9+ h) - o(9) (c) P(x) is continuous everywhere, lim P-4 + h) – p(-4). - -7, and lim P(-4 + h) – p(-4) -2 4. p(x) has a comer p'(x) is undefined and has a jump V in its graph at x-4. in its graph at x- -4

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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In each part below, use the information about the function to answer the questions. Note-See the examples in the pdf called Differentiability Examples, posted in 2.6 in D2L. (a) f(x) is a decreasing function, continuous everywhere, and has a vertical tangent at x = 6. (6+h)-f(6) lim h-0 (6+ h)-f(6) lim h-o (b) g(x) is increasing for x <9 and degreasing x> 9, continuous everywhere, and has a cusp at x 9, lim 9(9 +h)- g(9) lim 2(9+h)-9(9) - 0 (c) p(x) is continuous everywhere, lim P-4 + h)-p(-4)- -7. and lim P(-4 + h) - p(-4) p(x) has a comer p'(x) is undefined and has a jump in its graph at x = -4. in its graph at x= -4
Transcribed Image Text:In each part below, use the information about the function to answer the questions. Note-See the examples in the pdf called Differentiability Examples, posted in 2.6 in D2L. (a) f(x) is a decreasing function, continuous everywhere, and has a vertical tangent at x = 6. (6+h)-f(6) lim h-0 (6+ h)-f(6) lim h-o (b) g(x) is increasing for x <9 and degreasing x> 9, continuous everywhere, and has a cusp at x 9, lim 9(9 +h)- g(9) lim 2(9+h)-9(9) - 0 (c) p(x) is continuous everywhere, lim P-4 + h)-p(-4)- -7. and lim P(-4 + h) - p(-4) p(x) has a comer p'(x) is undefined and has a jump in its graph at x = -4. in its graph at x= -4
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