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zepelin [54]
3 years ago
6

Find the range of y= 3/2 cos 4x-1

Mathematics
2 answers:
hoa [83]3 years ago
6 0

Answer:

The range of y is [-\dfrac{5}{2},\dfrac{1}{2}]

Step-by-step explanation:

Given: y=\dfrac{3}{2}\cos (4x) -1

It is cosine function of trigonometry.

We need to find the range of given function. The value of y shows range of function.

y is depends on cosine function.

As we know cosine max/min value is fixed.

y is max when cosine max.

y is min when cosine is min.

Maximum value of cosine = 1

y_{max}=\dfrac{3}{2}(1) -1=\dfrac{1}{2}

Minimum value of cosine = -1

y_{min}=\dfrac{3}{2}(-1) -1=-\dfrac{5}{2}

Range of y: [min,max]

Range: [-\dfrac{5}{2},\dfrac{1}{2}]

Hence, The range of y is [-\dfrac{5}{2},\dfrac{1}{2}]

Furkat [3]3 years ago
5 0
I have attached how to work through this problem. I hope this helps

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Reflection in the x-axis

Step-by-step explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.

6 0
3 years ago
Which statement is true about the end behavior of the graphed function?
Sloan [31]

D. As the x-values go to negative infinity, the function's values go to positive infinity.

Step-by-step explanation:

In the diagram you notice as the values of x increase to the far negative value, the function's output values increase to positive infinity.

For example at ;

x=-2, f(x)=0

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Learn More

Behavior of a function:brainly.com/question/12052868

Keywords :statement, true,end behavior, graph, function

#LearnwithBrainly

7 0
3 years ago
If you launch the cannonball from the ground instead (hi=0), what does that change in the original equation?
ikadub [295]

Answer:

  the value of hi changes from 58 to 0:

  h(t) = -4.9t^2 +19.8t

Step-by-step explanation:

If the initial height changes, then the term in the equation that represents that height will change. The initial height term is hi, so it changes from 58 to 0.

  h(t)=-4.9t^2+19.8t+0\\\\\boxed{h(t)=-4.9t^2+19.8t}

7 0
2 years ago
When dividing 592 by 9.25, how many zeros will be placed in the dividend?When dividing 592 by 9.25, how many zeros will be place
Ierofanga [76]

Answer:

Step-by-step explanation:

9.25=\frac{925}{100} \\592 \div9.25=592 \div \frac{925}{100} =\frac{59200}{925}

3 0
2 years ago
Help Me! ASAP! Determine whether each equation has no solution, one solution or infinitely many solutions. Choose No Solution, O
ladessa [460]

Answer:

Step-by-step explanation:

(1). One solution

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(3). One solution

(4). No Solution

7 0
3 years ago
Read 2 more answers
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