Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-0.5x^2+0.7x-5.1
2 answers:
Answer:
The domain of the equation is all real number and the range of the equation is (-∞,-4.885].
Step-by-step explanation:
The given quadratic equation is
Use a graphing calculator to sketch the graph of the quadratic equation.
The graph of given quadratic equation is shown below.
From the graph it is clear that it is a downward parabola and the vertex of the parabola is (0.7,-4.885).
The function is defined from all values of x, therefore the domain of the function is all real number.
The vertex of the parabola is (0.7,-4.885). It means the maximum value of the function is -4.885 and the value of y cannot be more than -4.885.
So, the range of the function is
Therefore the domain of the equation is all real number and the range of the equation is (-∞,-4.885].
You might be interested in
Answer:
Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)
Part 2)
Part 3)
Step-by-step explanation:
we have
In the triangle ABC
Part 1) Which information about the triangle is given?
In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)
see the attached figure to better understand the problem
Part 2) Which formula can you use ti find b?
I can use the law of cosines
we have
substitute the given values
Part 3) What is b, rounded to the nearest tenth?
Remember that
To Round a number
a) Decide which is the last digit to keep
b) Leave it the same if the next digit is less than (this is called rounding down)
c) But increase it by if the next digit is
or more (this is called rounding up)
In this problem we have
We want to keep the digit
The next digit is which is 5 or more, so increase the "5" by 1 to "6"
therefore
