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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Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.
<h3>What is an exponent?</h3>Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The exponent expression is 2³ × 2⁻⁴ can be simplified.
Add the exponents and keep the same base. Then we have
2³ × 2⁻⁴ = 2⁽³⁻⁴⁾
2³ × 2⁻⁴ = 2⁻¹
Then find the reciprocal and change the sign of the exponent.
The value is 0.5.
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