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alisha [4.7K]
3 years ago
11

Which is the graph of the function y=2(4)^x

Mathematics
2 answers:
Lisa [10]3 years ago
6 0

Answer:

is this highschool work?

Step-by-step explanation:


Vlad [161]3 years ago
6 0

Answer:

See below  

Step-by-step explanation:

Here's one way to sketch the graph of a function.

Step 1. Find any zeroes.

(a) <em>y-intercept </em>

y = 2(4)^x     Let x = 0

  = 2(4)⁰

  = 2 × 1

  = 2

We have a point at (0,2).

(b) <em>x-intercept </em>

      y = 2(4)^x     Let y = 0

     0 = 2(4)^x     Divide each side by 2

     0 = (4)^x        Take the log of each side

log0 = xlog4

log(0) is undefined. There is no x-intercept.

Step 2. Identify any asymptotes

y = 2(4)^x

y can never be negative, so the <em>x-axis is an asymptote.</em>


Step 3. Calculate and plot a few points

Here's a table of a few points.

<u>  x  </u>    <u>   y   </u>

-3      0.0

-2      0.1

-1      0.5

0     2

1      8

2   32

3  128

Step 4. Check the end behaviour.

y = 2(4)^x

As x ⟶ ∞, y ⟶ ∞.

As x ⟶ -∞, y ⟶ 0

Step 5. Draw a smooth line through the points.

Your graph should look something like the one below.

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3 years ago
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Answer:

Solution: x³ + 3x² + 3x + 1

Step-by-step explanation:

Take a look at the following Pascal's Triangle:

(x + y)⁰ =                                1

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Answer:

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Step-by-step explanation:

These "border" problems can be a little tricky.

The tiles are 1 ft square, so an integer number of them fit along each of the sides. The 40-ft side will take 40 tiles for its border, and the 80-ft side will take 80 tiles.

The total number of tiles along each of the four sides is ...

  40 + 80 + 40 + 80 = 240 . . . tiles

However, there is also a tile in each of the corners. There are 4 of those, so the total number of tiles surrounding the pool is ...

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<em>Alternate solution</em>

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The area of the pool is ...

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We know the width of the border is 1 foot, so w=1 and the border area is ...

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Each tile is 1 square foot, so 244 tiles are needed for the border.

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It can help to draw yourself a diagram. It can also help to make a small model using blocks, Scrabble tiles, Legos, jigsaw puzzle pieces, squares cut from paper, or even coins (pennies). Anything that will give you an idea of how to count the tiles required to make a border can be helpful.

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