What is a function?
When we have a function, we give them the notation f(x) (pronounced) f of x
In the following graphs, some are functions (which I will indicate by f (x) and some are
not (which I will indicate by not f(x). Which of the follow
Many students have often asked questions such as: Why do I need to learn
Mathematics? Where and when am I going to use it in my life?
Now that you are almost done with this College Algebra class, can you now explain
why it is important for everyone
QUESTIONS PART 1
All of us encounter the concept of Interest in our lives, whether it's the kind that we pay
to banks for our cars and homes or the kind that we collect on our bank accounts.
In this week's Algebra Talk, we will discuss the concept of comp
Variation is a great example of how mathematics is used to
model and solve real-world problems. Many fields of study contain
examples of the three different kinds of variation:
Direct variation (for example, y = kx)
Inverse variation (for example, y = k/x
A logarithm is a quick way to solve large numbered problems. Developed by a Scottish
mathematician by the name of John Napier (around 1590), he was looking for a way to
solve large numbers of multiplication and division with addition and subtraction.
When you have an exponential equation, the variable is in the exponent position.
We are used to solving x + 5 = 7, but how do we solve a question like example #1 on
page 315. Where the variable is in the air?
One of the nice things about equations is t
In Math, there are inverses to just about every operation. The inverse of addition is
subtraction; the inverse of subtraction is addition. The inverse of multiplication is
division and the inverse of division is multiplication. In each case, the operati
When you have 2 linear equations (straight lines), there are 3 ways in which they can be
in relation to one another.
(They crisscross at one point)
(They can be parallel no points touching)
(The two lines can be on top of each other
So all points are
Lets talk about exponential functions. Before, we talked about functions that looked
like. Now we are going to talk about functions where the variable is in the exponent
lets see what happens to an exponential graph. Lets graph :
If x = 0
This is going to be an easy section, because the only thing that we have to do is to use our
Of all the bases that can be used, there are 2 bases that are in my calculator. When Napier
started his logs, he used 10 as his base, so that all n
We are now going to go over radicals. Remember from Intermediate Algebra, that
25 5 The answer from a square root must always be positive
If I have 50 , I can break it down into 2 factors (one of which is a perfect square)
50 25 2 5 2 ( remember that g
Remember that an absolute value symbol means that any number in the symbol will come
out positive. . There are some things in math and science that can never be negative.
Distance is one of them. You never say that you drove a negative three miles. You
We begin by reviewing some concepts from intermediate algebra.
Even though we have been doing well with fractions, it would be nice to get rid of them
if we could. If we are given an equation with fractions, one of the nice things about an
I know that and not a 3, I know that because if you squared the answers, you get what
is under the radical.
What about ? The answer cant be 2, because, and it cant be a 2 because. So here lies
To take care of this situation, mathematicians
If f(x)=-x-4x+3 , find f(-2
Question 2 Solve for x: 3(x-2) = - 4(x+8) + 10
Question 3 State the domain of
Question 4 Write the equation of the line whose slope is -3/7 and