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
Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:
a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.
<h3>What is the relation between the p-value and the conclusion?</h3>It also involves the significance level, as follows.
- If the p-value is less than the significance level, we reject the null hypothesis
.
- If it is more, we do not reject.
In this problem, a t-distribution calculator for a right-tailed with <em>t = 2.15 and 25 - 1 = 24 df</em> is used to find a p-value of 0.02.
It is less than 0.05, hence option a is correct.
More can be learned about p-values at brainly.com/question/26454209