Let f(x)=(3+4x)4f(x)=(3+4x)4 f(x)f(x) has one critical value at A = Incorrect For x
Question 1. Last Attempt: 0.7 out of 1 (parts: Incorrect 0/0.33, Correct 0.33/0.33, Correct 0.34/0.34) Score in Gradebook: 0.7 out of 1 (parts: Incorrect 0/0.33, Correct 0.33/0.33, Correct 0.34/0.34)
Let f(x)=(7?5x)5f(x)=(7-5x)5 f(x)f(x) has one critical value at A = For x
Question 2. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
Let f(x)=(8?5x)7f(x)=(8-5x)7 f(x)f(x) has one critical value at A = For x
Question 3. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
The function f(x)=?2×3+30×2?54x+10f(x)=-2×3+30×2-54x+10 has one local minimum and one local maximum. This function has a local minimum at xx = with value and a local maximum at xx = with value
Question 4. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
The function f(x)=2×3?42×2+240x+1f(x)=2×3-42×2+240x+1 has one local minimum and one local maximum. This function has a local minimum at xx = with function value and a local maximum at xx = with function value
Question 5. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
The function f(x)=8x+9x?1f(x)=8x+9x-1 has one local minimum and one local maximum. This function has a local maximum at x=x= with value and a local minimum at x=x= with value
Question 6. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
For ?15?x?12-15?x?12 the function ff is defined by f(x)=x5(x+6)2f(x)=x5(x+6)2 On which two intervals is the function increasing (enter intervals in ascending order)? x = to x = and x = to x = Find the interval on which the function is positive: x = to x= Where does the function achieve its absolute minimum? x =
Question 7. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
Consider the function f(x)=?2×3+33×2?144x+1f(x)=-2×3+33×2-144x+1. For this function there are three important open intervals: (??,A)(-?,A), (A,B)(A,B), and (B,?)(B,?) where AA and BB are the critical numbers. Find AA and BB For each of the following open intervals, tell whether f(x)f(x) is increasing or decreasing. (??,A)(-?,A): (A,B)(A,B): (B,?)(B,?):
Question 8. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
Consider the function f(x)=8x+3x?1f(x)=8x+3x-1. For this function there are four important open intervals: (??,A)(-?,A), (A,B)(A,B),(B,C)(B,C), and (C,?)(C,?) where AA, and CC are the critical numbers and the function is not defined at BB. Find AA and BB and CC For each of the following open intervals, tell whether f(x)f(x) is increasing or decreasing. (??,A)(-?,A): (A,B)(A,B): (B,C)(B,C): (C,?)(C,?):
Question 9. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
Consider the function f(x)=?4(x?3)2/3f(x)=-4(x-3)2/3. For this function there are two important open intervals: (??,A)(-?,A) and (A,?)(A,?) where AA is a critical number. Find AA For each of the following intervals, tell whether f(x)f(x) is increasing or decreasing. (??,A)(-?,A): (A,?)(A,?):
Question 10. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
Consider the function f(x)=x2e3xf(x)=x2e3x. For this function there are three important open intervals: (??,A)(-?,A), (A,B)(A,B), and (B,?)(B,?) where AA and BB are the critical numbers. Find AA and BB For each of the following intervals, tell whether f(x)f(x) is increasing or decreasing. (??,A)(-?,A): (A,B)(A,B): (B,?)(B,?)
Question 11. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
The function f(x)=?4×3?13.02×2+459.888x+7.49f(x)=-4×3-13.02×2+459.888x+7.49 is increasing on the open interval ( , ). It is decreasing on the open interval ( ??-?, ) and the open interval ( , ?? ). The function has a local maximum at .
Question 12. Last Attempt: 0 out of 1 Score in Gradebook: 0 out of 1
Consider the function f(x)=12×5+45×4?80×3+1f(x)=12×5+45×4-80×3+1. For this function there are four important intervals: (??,A](-?,A], [A,B][A,B],[B,C][B,C], and [C,?)[C,?) where AA, BB, and CC are the critical numbers. Find AA and BB and CC At each critical number AA, BB, and CC does f(x)f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or NEITHER. At AA At BB At CC
