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Verdich [7]
4 years ago
15

What is the domain and range of the step function with the equation below f(x)=-3 x

Mathematics
1 answer:
Nostrana [21]4 years ago
3 0
The function f(x)=-3x follows a linear form y=ax+b, where a is the slope and b is the y-intercept. From our function:
f(x)=-3x
f(x)=-3x+0
slope, a=-3 and y-intercept is 0. This implies that the function is a linear function, thus the domain and range will be:
domain:
(-∞,∞)

Range:
(-∞,∞)
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Mariana [72]

Answer: x = 4

Step-by-step explanation:

Here we have a piecewise function.

One piece works for values of x such that:   -6 < x < 0

And the other piece works for values of x such that: 0 < x ≤ 4

Then the domain of this function is:

D = (-6, 0) U (0, 4]

Notice that, becuse we use the symbols ><, the values of x:

x = -6

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While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.

Then for the given options, the only value that belongs to the domain is the third option, x = 4.

4 0
3 years ago
On a unit circle, the terminal point of 0 is (1, 0). What is tan ?
SCORPION-xisa [38]

By using the definitions of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the tangent of the <em>terminal</em> point of the angle is equal to 0.

<h3>How to find determine a trigonometric function associated with an unit circle</h3>

In trigonometry, an <em>unit</em> circle is a circle with a radius of 1 and used to determine the values of <em>trigonometric</em> functions. There are two fundamental <em>trigonometric</em> functions: (i) <em>sine</em>, (ii) <em>cosine</em>, and the tangent is a derivate <em>trigonometric</em> function, which is defined below:

tan θ = y/x     (1)

If we know that x = 1 and y = 0, then the tangent of the terminal point of angle is:

tan θ = 0/1

tan θ = 0

By using the definitions of <em>unit</em> circle and <em>trigonometric</em> functions, we find that the tangent of the <em>terminal</em> point of the angle is equal to 0.

To learn more on trigonometric functions: brainly.com/question/6904750

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4 0
2 years ago
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ch4aika [34]
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9 has three factors: 1, 3, and 9
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8 0
3 years ago
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ser-zykov [4K]

Answer:

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8 0
4 years ago
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Someone help me please
lara [203]
The answer is X = 16
4 0
3 years ago
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