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3 years ago

Basic functions sample work! Help please

Mathematics

1 answer:

frosja888 [35]3 years ago

3 0

Answer:

See the attachment.

Step-by-step explanation:

Function notation: This means the description of the curve is written in the form ...

f(x) = <an expression that describes the curve in terms of independent variable x>

The name of the function does not have to be "f", though f, g, h are traditional for generic functions. In specific cases, the function name might be related to the value the function delivers: <em>cost(n)</em> might be the function that tells you the cost of producing n items, for example.

The functions shown (square root, reciprocal) should be shapes you have memorized. You can check the scale factor at specific values you know, for example, √4 = 2, or 1/1 = 1. Hence both functions have a scale factor of 1 (no scaling).

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The domain is the horizontal region where the function is defined. Square root is not defined for negative numbers; reciprocal is not defined for 0. Hence the descriptions of the respective domains must exclude these values.

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The range is the vertical extent of the values each function produces. The domain and range are the same for both functions shown here.

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Asymptotes are lines the function approaches but does not reach. The square root function has no such lines. (It reaches vertical at x=0.)

The reciprocal function has a vertical asymptote as x=0 (the value of x that makes the function denominator zero). And, it has a horizontal asymptote at y=0, a value that can be approached, but not reached, as x gets large in either the positive or negative directions.

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End behavior: The square root function heads off toward (∞, ∞). The reciprocal function heads toward the value defined by the horizontal asymptote: y=0 as x gets large in magnitude.

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Find expressions for the possible dimensions of a rectangular prism with a volume of 3m? + 7m2 +2m.

SashulF [63]

Answer:

B. m, (3m +1), and (m +2)

Step-by-step explanation:

The product of the constants in the binomials must be +2 in order for those binomials to be factors of the volume expression. That is only the case for ...

B. m, (3m +1), and (m +2)

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2 years ago

How are the original coordinates related to the coordinates after the translation?

slamgirl [31]

Answer:

When you perform translations, you slide a figure left or right, up or down. This means that on the coordinate plane, the coordinates for the vertices of the figure will change.

To graph a translation, perform the same change for each point.

You can identify a reflection by the changes in its coordinates. In a reflection, the figure flips across a line to make a mirror image of itself. Take a look at the reflection below.

Figures are usually reflected across either the

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or the

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axis, the

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coordinates stay the same. Take a look at this example.

In the figure above the coordinates for the upper-left vertex of the original figure are (-5, 5). After you reflect it across the

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coordinates stay the same while the

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coordinates change. In fact, the

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coordinates. This indicates that this is a vertical (up/down) reflection or a reflection over the

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axis, the

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y−

axis. Compare the points. Notice that the

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coordinates stay the same. The

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coordinates become the integer opposites of the original

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coordinates. Look at the top point of the triangle, for example. The coordinates of the original point are (-4, 6), and the coordinates of the new point are (4, 6). The

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7 0

3 years ago

Two numbers are in ratio of 2 to3 if the smaller number is 18 the larger number is what

Alex777 [14]

If you would like to know the value of the larger number, you can calculate this using the following steps:

2 ... 3
18 ... x = ?

2 * x = 3 * 18 /2
x = 3 * 18 / 2
x = 27

The correct result would be 27.

7 0

3 years ago

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alex41 [277]

Answer:

3 <x8+4

Step-by-step explanation:

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3 years ago

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fredd [130]

Answer:

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Step-by-step explanation:

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