PLEASE HELP!Find the domain, period, range, and amplitude of the cosine function.

y = -6 cos 4x

A. domain = -1/2 ≤ x ≤ 1/2; period = 6; range:- -6 ≤ y ≤ 6; amplitude = 1/2
B. domain = all real numbers; period = π/2 ; range:- -6 ≤ y ≤ 6; amplitude = 6
C. domain = all real numbers; period = π/2 ; range: -6 ≤ y ≤ 6; amplitude = -6
D. domain = -1/2 ≤ x ≤ 1/2; period = 6π; range: -6 ≤ y ≤ 6 ; amplitude = 1/2

Answers

Answer 1

Answer: Domain is all real numbers because there is a y value for every x.
The amplitude is the absolute value of the constant of the outside: |-6| = 6
The range is that x is between the positive and negative amplitude: -6 ≤ y ≤ 6
The period is usually 2π, but here it is 2π/4, or π/2, as it goes up and down 4 times as fast as it would if it was just cos x.
Answer: B

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neverminding for a second that they're intercepts at all, they're points on the line, so

$\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-8})\n\n\n slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-0}{0-(-6)}\implies \cfrac{-8-0}{0+6}\implies \cfrac{-8}{6}\implies -\cfrac{4}{3}\n\n\n \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\n\cline{1-1}\ny-y_1=m(x-x_1)\n\n\cline{1-1}\end{array}\implies y-0=-\cfrac{4}{3}[x-(-6)]\n\n\ny=-\cfrac{4}{3}(x+6)\implies y=-\cfrac{4}{3}x-8$

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Answers

The approximate value of the line of best fit which is the ratio of the change in y and the change in x axis from the options given is -4.5.

The slope of the line of best fit can be determined using the following pair of points :

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x1 = 1 ; x2 = 8; y1 = 36 ; y2 = 5

The slope is defined thus :

Slope = (y2 - y1) ÷ (x2 - x1)

Substituting the values into the equation :

Slope = (5 - 36) ÷ (8 - 1)

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Slope = - 4.428

Therefore, the nearest option from the options given is - 4.5. Hence, the approximate value of slope the best fit line is - 4.5

Learn more :brainly.com/question/18904995

Answer: -4.5

Step-by-step explanation: Trust me on this :)

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Answers

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Answers

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