H W e e k 4 "C ontinuity" T a k e T e st: W 4 Midterm Tak e Test: W 4 Midterm Test Information Description Instructions Multiple Attempts N ot allo w e d. This test can only b e tak en once. Force Completion This test can be saved and resumed later. Find the limit. (x3 + 5x2 ­ 7x + 1) does not exist 15290 QUESTION 1 2 p oints S a v e A n s w er Find the limit. 0­∞∞­1 QUESTION 2 2 points Save Answer Find the domain of the function. g(x) =all real numbers {x|x ≠ 0} {x|x ≠ ­7, 7} {x|x > 49} QUESTION 3 2 points Save Answer Express as a single logarithm. 6logbq ­ logbr logb(q6 ‑ r) logbq6 ÷ logbr logb logb QUESTION 4 2 points Save Answer Solve the equation. 92x ∙ 27(3 ‑ x) = {­11} {10} {­8} QUESTION 5 2 points Save Answer Find the limit. ­∞0∞1 QUESTION 6 2 points Save Answer Find the limit. ∞5Does not exist ­∞ QUESTION 7 2 points Save Answer Divide numerator and denominator by the highest power of x in the denominator to find the limit. ­0­ 3 ­∞ QUESTION 8 2 points Save Answer Find the domain of the function. all real numbers {x|x > 6} {x|x ≠ 6} {x|x ≥ 6} QUESTION 9 2 points Save Answer Express as a single logarithm. (logat ­ logas) + 5logau loga loga loga logatu5s QUESTION 10 2 points Save Answer Divide numerator and denominator by the highest power of x in the denominator to find the limit. does not exist 525125 QUESTION 11 2 points Save Answer Find the intervals on which the function is continuous. y =continuous on the interval continuous on the interval continuous on the interval QUESTION 12 2 points Save Answer Find the domain of the function. h(x) ={x|x ≠ ­8, 0, 8} {x|x ≠ 2} all real numbers {x|x ≠ 0} QUESTION 13 2 points Save Answer Write as the sum and/or difference of logarithms. Express powers as factors. log4log4(x + 6) + 3log4x 3log4x ­log4(x + 6) log4(x + 6) ­log4x log4(x + 6) ­ 3log4x QUESTION 14 2 points Save Answer Find the limit. 310­∞ QUESTION 15 2 points Save Answer Find the limit. ­∞Does not exist 0∞ QUESTION 16 2 points Save Answer Solve the equation. x ={­4} {4} QUESTION 17 2 points Save Answer Divide numerator and denominator by the highest power of x in the denominator to find the limit. does not exist 9729 81 QUESTION 18 2 points Save Answer Write as the sum and/or difference of logarithms. Express powers as factors. log5 QUESTION 19 2 points Save Answer ? Question Completion Status: Home Courses Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit Stephanie Townsend 20 lo g5log5(14 ) ­ lo g5y log514 ∙ log5m ÷ lo g5y log514 + log5x ­ log5y log5y ­ log514 ­ log5x Solve the equation. 2x2 ‑ 3= 64 { , ­ } {3} {6} {3, ­3} QUESTION 20 2 p oints S a v e A n s w er Find the limit. ∞0­∞1 QUESTION 21 2 points Save Answer Write as the sum and/or difference of logarithms. Express powers as factors. log56log5y ­ 5log5x 5log5x + 6log5y log5 5log5x ­ 6log5y QUESTION 22 2 points Save Answer Find the limit. ­∞∞7Does not exist QUESTION 23 2 points Save Answer Divide numerator and denominator by the highest power of x in the denominator to find the limit. 0∞ QUESTION 24 2 points Save Answer Find the limit. 0­does not exist 1 QUESTION 25 2 points Save Answer Express as a single logarithm. 6logam ­ logan + logaj ‑ 5logak loga loga loga loga QUESTION 26 2 points Save Answer Write as the sum and/or difference of logarithms. Express powers as factors. log14 log1417 ­ log1419 log1419 ÷ log1417 log1419 + log1419 log1419 ­ log1417 QUESTION 27 2 points Save Answer Find the limit. (3x5 ­ 2x4 + 4x3 + x2 + 5) 57169 105 41 QUESTION 28 2 points Save Answer Find the limit if it exists. x3/4 192 64256 QUESTION 29 2 points Save Answer Write as the sum and/or difference of logarithms. Express powers as factors. log3log3 + log3 log36x log36 + log3x log36 + log3x QUESTION 30 2 points Save Answer Find the limit. ­­∞5∞ QUESTION 31 2 points Save Answer Express as a single logarithm. 10loga2 + 7loga7 loga loga(20 + 49) loga21077 loga210 ∙ loga77 QUESTION 32 2 points Save Answer Find the limit. 0∞­ QUESTION 33 2 points Save Answer Solve the equation. 5­x ={­3} {3} QUESTION 34 2 points Save Answer Find the intervals on which the function is continuous. y =continuous everywhere continuous on the interval [ , ∞) continuous on the interval [­ , ] continuous on the intervals (­∞, ­ ] and [ , ∞) QUESTION 35 2 points Save Answer Find the limit if it exists. (x ­ 24)1/3 9­331 QUESTION 36 2 points Save Answer Find the domain of the function. f(x) =all real numbers {x|x ≠ 0} {x|x > ‑4} {x|x ≠ ‑4} QUESTION 37 2 points Save Answer Find the limit. ∞­∞Does not exist 0 QUESTION 38 2 points Save Answer Find the limit if it exists. QUESTION 39 2 points Save Answer Question Completion Status: Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit Find the limit if it exists. (x + 3)2(x ­ 3)3 1 ­3125 25 ­125 Find the domain of the function. f(x) = {x|x ≤ } {x|x ≠ } {x|x ≤ 23} {x|x ≠ 23} QUESTION 40 2 points Save Answer Find the limit if it exists. ­ ­62 62 QUESTION 41 2 points Save Answer Find the limit. does not exist 121 ±11 11 QUESTION 42 2 points Save Answer Express as a single logarithm. 3log6x + 5log6(x ­ 6) log6x(x ­ 6) log6x(x ‑ 6)15 15 log6x(x ­ 6) log6x 3(x ‑ 6)5 QUESTION 43 2 points Save Answer Find the intervals on which the function is continuous. y = continuous everywhere discontinuous only when θ = ­1 discontinuous only when θ = discontinuous only when θ = 1 QUESTION 44 2 points Save Answer Find the intervals on which the function is continuous. y = discontinuous only when θ = π discontinuous only when θ = continuous everywhere discontinuous only when θ = 0 QUESTION 45 2 points Save Answer Express as a single logarithm. logcx + logcy logc logcxy logcx ∙ logcy logc (xy) QUESTION 46 2 points Save Answer Write as the sum and/or difference of logarithms. Express powers as factors. logw logw11 +logwx ­ logw4 logw11 +logwx + logw4 logw7x logw11x ­logw4 QUESTION 47 2 points Save Answer Find the limit. ∞ ­8 8 QUESTION 48 2 points Save Answer Find the intervals on which the function is continuous. y = continuous on the interval continuous on the interval continuous on the interval continuous on the interval QUESTION 49 2 points Save Answer Find the limit if it exists. 4x 1 QUESTION 50 2 points Save Answer Question Completion Status: Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit

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