All categories

3 years ago

If this is the graph of f(x)=a^(x+h)+k, then: A. a< 0 B. k> 1 C. 0 D. a> 1

Mathematics

1 answer:

lyudmila [28]3 years ago

4 0

Answer:

Option D. is the right choice.

Step-by-step explanation:

D. a > 1 is the right answer.

Best Regards!

You might be interested in

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

An airplane started at point K, travelled 560 miles to point L, adjusted its route and travelled another 575 miles to point M. I

S_A_V [24]

Answer:

Step-by-step explanation:

Using the cosine theorem:

$c^{2} =a^{2} +b^{2} -abcos\beta$

$952^{2} =560^{2} +575^{2} -560*575cos\beta$

$\beta =cos^{-1} (\frac{560^{2}+575^{2}-952^{2} }{2*560*575} )$

The angle is 114.014 degrees if we substract 90 degrees it means that at point L the plane changed its angle by 24 degrees

4 0

3 years ago

What is <br><img src="https://tex.z-dn.net/?f=%20%20%20cot%280.349%20%29" id="TexFormula1" title=" cot(0.349 )" alt=" cot(0.

AnnZ [28]

Cot(0.349)= 2.74804 is your answer

8 0

3 years ago

A ski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured skier. In how many w

ikadub [295]

Answer:

Step-by-step explanation:

7C2 = 21

6 0

3 years ago

I don’t get this one help me please

galina1969 [7]

...........................................................(4 yrd and 2ft ) there is 3 ft in a yard 14 divided by 3 is 4 remainder 2

6 0

3 years ago

Read 2 more answers