Parallelograms with all right angles
1 answer:
You might be interested in
Answer:
or
Step-by-step explanation:
we have
f(3+√2 )=f(3− √2 )=0
so
x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation
The quadratic equation in factored form is equal to
substitute
Find the value of the coefficient a
Remember that
f(1)=−8
so
For x=-1 -----> f(x)=-8
substitute
solve for a
apply difference of squares
therefore
simplify
Applying distributive property
Answers:
Domain is
Range is
============================================
Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of
This interval notation can be thought of as
----------------------------
The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is and that translates to the interval notation of
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
