What is 9/5,-2.5,-1.1,-4/5,0.8 from least to greatest
1 answer:
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9514 1404 393
Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
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The attached graph of the function confirms that the minimum is located at x=-1/2
_____
<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
By applying Exponential laws, option no. c which is, stands correct.
What are exponents?
- A number's exponent indicates how many times that number has been multiplied by itself.
- However many times multiplying a given number is indicated by its exponent. Powers and indices are other names for exponents.
- An indication of the action of elevating to a power that is printed above and on the side of a mathematical form
- Exponent-related problems are solved using the rules of exponents or the properties of exponents. These characteristics are regarded as fundamental exponents rules that must be adhered to when solving exponents.
Given that,
Applying the law of exponents to the given expression,
Putting the given value in the above expression, we get,
Hence, by applying Exponential laws, option no. c which is, stands correct.
Learn more about exponents here:
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