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For 6-8, circle only and all the true choices. 6. If f(x) has a jump discontinuity at x = a, then a) f(x) can be continuous c) f(a) can exist 7. If f(x) has a cusp at x = a, then b) The domain cannot be {x = R} d) lim f(x) and lim f(x) can both exist x→a+ x-a- a) f(x) is undefined at x = a c) f(x) is non-differentiable at x = a b) lim f(x) = lim f(x) x→a x+a+ d) There can be a hole at x = a 8. If f(x) has a removeable discontinuity at x = a, then a) f(x) can be continuous. c) f(x) can be defined at x = a b) lim f(x) will exist x-a d) f(x) is differentiable at x = a

For 6-8, circle only and all the true choices. 6. If f(x) has a jump discontinuity at x = a, then a) f(x) can be continuous c) f(a) can exist 7. If f(x) has a cusp at x = a, then b) The domain cannot be {x = R} d) lim f(x) and lim f(x) can both exist x→a+ x-a- a) f(x) is undefined at x = a c) f(x) is non-differentiable at x = a b) lim f(x) = lim f(x) x→a x+a+ d) There can be a hole at x = a 8. If f(x) has a removeable discontinuity at x = a, then a) f(x) can be continuous. c) f(x) can be defined at x = a b) lim f(x) will exist x-a d) f(x) is differentiable at x = a

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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For 6-8, circle only and all the true choices. 6. If f(x) has a jump discontinuity at x = a, then a) f(x) can be continuous c) f(a) can exist 7. If f(x) has a cusp at x = a, then b) The domain cannot be {x = R} d) lim f(x) and lim f(x) can both exist x→a+ x-a- a) f(x) is undefined at x = a c) f(x) is non-differentiable at x = a b) lim f(x) = lim f(x) x→a x+a+ d) There can be a hole at x = a 8. If f(x) has a removeable discontinuity at x = a, then a) f(x) can be continuous. c) f(x) can be defined at x = a b) lim f(x) will exist x-a d) f(x) is differentiable at x = a
Transcribed Image Text:For 6-8, circle only and all the true choices. 6. If f(x) has a jump discontinuity at x = a, then a) f(x) can be continuous c) f(a) can exist 7. If f(x) has a cusp at x = a, then b) The domain cannot be {x = R} d) lim f(x) and lim f(x) can both exist x→a+ x-a- a) f(x) is undefined at x = a c) f(x) is non-differentiable at x = a b) lim f(x) = lim f(x) x→a x+a+ d) There can be a hole at x = a 8. If f(x) has a removeable discontinuity at x = a, then a) f(x) can be continuous. c) f(x) can be defined at x = a b) lim f(x) will exist x-a d) f(x) is differentiable at x = a
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