with f(1) = f(5) = 0 such 18. A function f defined on [1, 5] that f is continuous everywhere except for x = 2, differen tiable everywhere except at x = 2, and fails the conclusion of Rolle's Theorem. 11 rith f(-3) = f(-1) -
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![18. A function f defined on [1,5] with f(1) = f (5) = 0 suek
that f is continuous everywhere except for x = 2, differen
tiable everywhere except at x
of Rolle's Theorem.
usion
2. and fails the conclusion
%3D
tisfies
hat it
19. A function f defined on [-3, –1] with f(-3) = f(-1) = 0
such that f is continuous everywhere except at x = -1
and differentiable everywhere except at x = -1, and fails
the conclusion of Rolle's Theorem.
e the
e the
20. A function f defined on [0, 4] such that f is continuous ev-
erywhere, differentiable everywhere except at x =
= 2, and
neo-
fails the conclusion of the Mean Value Theorem with
lues
a = 0 and b = 4.
21. A functionf defined on [-3,3] such that f is continu-
ous everywhere except at x = 1, differentiable everywhere
except at x = 1, and fails the conclusion of the Mean Value
Theorem with a =
ean
ctly
the
-3 and b = 3.
22. A function f defined on [-2, 0] such that f is continuous
everywhere except at x =
except at x =
Value Theorem with a = -2 and b = 0.
-2, differentiable everywhere
-2, and fails the conclusion of the Mean
ev-
he
33. f(x) =
In 2x
es
34. f(x) = 21-Inx
%3D
m,
35. f(x)
= COS X
36. f(x) = secx
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