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Ad libitum [116K]
3 years ago
13

If you were given the equation f ( x ) = 3x⁵+6x, what behavior would the ends of the graph have?

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0
The function given in the problem is a Polynomial Function of degree 5. These functions have the following form: f(x)=ax^5+bx^4+c^3+d^2+ex+f. They have an R domain and their graphs are continuous curves.
 
 You can know the behavior of the function f(x)=3x⁵+6x by given values to the variable x and plot each point obtained. For example:
 
 If x=-1⇒ f(-1)=3(-1)⁵+6(-1)=9
 
 If x=0⇒ f(0)==3(0)⁵+6(0)=0
 
 If x=1⇒ f(1)=3(1)⁵+6(1)=9
 
 Therefore, as you can see in the graph attached, <span>the correct answer is:
 
  c. The left end will start down at a large negative and the right end will go upwards.</span>


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8

Step-by-step explanation:

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3 years ago
Mr. Ishimoto needs to replace the grass in the section of his lawn that is shown below.
tatiyna

Answer:

The replacing the grass will cost  Mr. Ishimoto $14.00.

Step-by-step explanation:

The area of a rectangular field is:

\text{Area}=\text{height}\times \text{base}

It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.

The grass section can be broken into 2 rectangles.

First rectangle: Base = 7 feet and Height = 3 feet.

Second rectangle: Base = 2 feet and Height = 7 feet.

Compute the area of both the rectangles as follows:

\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21               \text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14

Now the cost of the new grass is $0.40 per square foot.

Compute the cost of replacing the grass in the first rectangular section as follows:

\text{Cost of new grass for section 1}=\text{Area}_{1} \times\$0.40\\

                                                =21\times \$0.40\\=\$8.40

Compute the cost of replacing the grass in the second rectangular section as follows:

\text{Cost of new grass for section 2}=\text{Area}_{2} \times\$0.40\\

                                                =14\times \$0.40\\=\$5.60

The total cost of replacing the grass is:

\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}

                =\$8.40+\$5.60\\=\$14.00

Thus, the replacing the grass will cost  Mr. Ishimoto $14.00.

3 0
3 years ago
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Can someone please help me with this math problem
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Answer:

I guess J

Step-by-step explanation:

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3 years ago
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Answer:

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Every point on the graph of f(x) has coordinates (x, f(x)). If you subtract 1 from the y-coordinate, you have (x, f(x) -1) = (x, g(x)). The graph of this is a graph of f(x) that is 1 unit down from its original position.

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