Given that g’(x)=60(x-4)(x2+1)(x-1), for the function g(x) in the interval [0, 5],____
The value g(4) is maximum
The value g(1) is minimum
The value g(5) is maximum
The value g(0) is minimum
None of the above
The line x +3y = 5 is tangent to the graph of f(x)=ax2 +bx at the point (-1, 2). Then the values of a and b are respectively given by
-5/3, -11/3
-5/3, 11/3
5/3, -11/3
5/3, 11/3
None of the above
the curve has two turns
x-axis is horizontal asymptote for the curve
Domain of f(x) is (-(,()
There are no vertical tangents for the curve.
The line x=-3 is one of the vertical asymptotes
13
8
3
24
-8
18
28
39
29
42
The function f given by f(x) = x3 –12x + 24 is
increasing for x < –2, decreasing for –2 < x< 2, increasing for x > 2
decreasing for x < 0, increasing for x > 0
increasing for all x
decreasing for all x
decreasing for x < –2, increasing for –2 < x < 2, decreasing fro x > 2
ln 6
5
0
-2
-4
1
If a function is continuous for all x and if f has a relative maximum at (-3, 2) and a relative minimum at (5, 1) which of the following statements must be true?
The graph of f has a horizontal asymptote
The graph of f has a point of inflection somewhere between x = -3 and x =5
The graph of f does not intersect the axes.
The graph of f has a horizontal tangent line at x = 3
f”(-3)>0
5 and 8
10 and 15
15 and 24
2 and 12
8 and 16