What is the range of the function y=cot(x)?

Mathematics

2 answers:

Yuliya22 [10]2 years ago

6 0

Answer:

A. All real numbers!!

Step-by-step explanation:

dimulka [17.4K]2 years ago

5 0

Answer:

(−∞,+∞)

Step-by-step explanation:

The cotangent function can take up any values depending on the value of

, the independent variable.

And thus, the range

(

−

∞

)

is justified.

The domain is all real numbers other than integral multiples of

where, the function is not defined.

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Which phrase best describes the translation from the graph y=(x-5)^2+7 to the graph of y=(x+1)^2-2

Helga [31]

Start from the parent function $f(x)=x^2$

In the first case, you are computing

$f(x-5)+7$

In the second case, you are computing

$f(x+1)-2 /tex] There are two translation going on: when you transform [tex] f(x) \to f(x+k)$ , you translate the function horizontally, $k$ units left if $k>0$ and $k$ units right if $k$ .

On the other hand, when you transform $f(x) \to f(x)+k$ , you translate the function vertically, $k$ units up if $k>0$ and $k$ units down if $k$ .

So, the first function is the "original" parabola $f(x)=x^2$ , translated $5$ units right and $7$ units up. Likewise, the second function is the "original" parabola $f(x)=x^2$ , translated $1$ units left and $2$ units down.