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2 years ago

A step function h(x) is represented by y = -2[x]. Which phrase best describes the range of the function h(x)

Mathematics

1 answer:

Tcecarenko [31]2 years ago

6 0

The range of the step function is all negative integers, thus, the correct option is A.

<h3>What are domain and range of a function ?</h3>

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

For the given function h(x)=-2|x|, any value of x will return a negative value, therefore, the range of the function is all negative numbers. This can be observed in the graph given below.

Hence, the range of the step function is all negative integers, thus, the correct option is A.

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Y_Kistochka [10]

The correct answer is option B which is $SinA = \dfrac{4}{5}$ , $tanA = \dfrac{4}{3}$ , $SecA=\dfrac{5}{3}$ ,

$CosA=\dfrac{3}{5}$ , $CotA=\dfrac{3}{4}$ and $CscA=\dfrac{5}{4}$ .

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

From the figure we can see that two sides are Ab = 15 cm and BC = 12 cm third side will be calculated by pythagorean theorem.

AC² = AB² - BC²

AC² = 15² - 12²

AC² = 81

AC = √81

AC = 9 cm

Now all the trigonometry identities are:-

$SinA =\dfrac{BC}{AB}=\dfrac{12}{15}= \dfrac{4}{5}$ ,

$tanA =\dfrac{BC}{AC}=\dfrac{12}{9}= \dfrac{4}{3}$ ,

$SecA=\dfrac{AB}{AC}=\dfrac{15}{9}= \dfrac{5}{3}$ ,

$CosA=\dfrac{AC}{AB}=\dfrac{9}{15}= \dfrac{3}{5}$ ,

$CotA=\dfrac{AC}{BC}=\dfrac{9}{12}=}\dfrac{3}{4}$

$CscA=\dfrac{AB}{BC}=\dfrac{15}{12}= \dfrac{5}{4}$ .

Therefore correct answer is option B which is $SinA = \dfrac{4}{5}$ , $tanA = \dfrac{4}{3}$ , $SecA=\dfrac{5}{3}$ , $CosA=\dfrac{3}{5}$ , $CotA=\dfrac{3}{4}$ and $CscA=\dfrac{5}{4}$ .

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2 years ago

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Answer:

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aalyn [17]

Answer:

Step-by-step explanation:

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First guess: Answer: A.

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2 years ago

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3 years ago

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