Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-5x^2+3x+10
1 answer:
Answer:
The answer to your question is:
Domain: (-∞, ∞)
Range: [10, ∞)
Step-by-step explanation:
Data
Graph y = 5x² + 3x + 10
Process
As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.
See the graph below.
Domain: are the possible values of the independent variable.
Range: are the reslunting values of the dependent variable.
Then
Domain : (- ∞, ∞) It is an open interval because -∞ and ∞ are
not included.
Range : [10, ∞) It is close because 10 is included.
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Answer:
Step-by-step explanation:
Given
Required
Determine the domain of the function
To do this, we need to solve for the vertex, p of the function
Given the the general form of a quadratic function is:
By comparison, we have:
So:
Substitute 1 for p in
This implies that
The interpretation of this is that;
<em>For every value of p, there's a corresponding value of R.</em>
<em>However, because p indicates price and it's impossible to have a negative price, we can say that the minimum value of p is 0;</em>
Hence, the domain is