–6
–3
3
6
8
–5
–2
1
3/4
Non existent
Which of the following statements is true?
A continuous function is an increasing function
An increasing function is continuous
A continuous function is differentiable
A differentiable function is continuous
A differentiable function is always monotonic
0
1
2
Nonexistent
-1
f is continuous and differentiable at every point
f is continuous at every point but is not differentiable
f is differentiable at every point
f is differentiable only at the origin
f is neither continuous and nor differentiable
Discontinuous at x=0
Not differentiable x=0
Differentiable at x=3
Continuous but not differentiable at x=3
Continuous but not differentiable at x=1
13x – y = 8
13x + y = 18
x – 13y = -64
x + 13y = 66
–2x + 3y = 13
The acceleration of a particle moving along the x-axis at time t is given by a(t) = 6t – 2. If the velocity is 25 when t = 3 and the position is 10 when t = 1, then the position x(t) =
9t2 + 1
3t2 – 2t + 4
t3 – t2 + 4t + 6
t3 – t2 + 9t – 20
36t3 – 4t2 – 77t + 55
2
3
For what value of x does the function
f(x) = (x – 2)(x – 3)2 have relative maximum?
nonexistent
0
1
2
3
At no value of x
How many critical points does the function
f(x) = (x + 2)5(x – 3)4 have?
One
Two
Three
Five
Nine
–5.19
0.74
1.32
2.55
8.13
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