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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The value of "a" is 4
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
The above expression involves variables and constants
A variable is a symbol that represents an unknown number
Here the variable is "a"
Constants are fixed numbers like 1, 2 etc
<em><u>From given expression:</u></em>
Move the varibale "2a" from right side to left side of equation
When, 2a is moved from R.H.S to L.H.S, it becomes -2a
Now move the constant -2 from left side to right side of equation
Similarly, when -2 is moved from L.H.S to R.H.S, it becomes +2
Now add the variables on left side of equation
Now add the constants on right side of equation
Cancel the negative sign on both sides of equation
Thus the value of "a" is 4