Fine the maximum and minimum values of the function y= -cos8x
1 answer:
Answer:
Step-by-step explanation:
The value of cosx ranges from -1 to 1, so -cosx ranges from 1 to -1.
The minimum value is -1, and the maximum value is +1.
The number 8 in the argument does not affect the amplitude of the wave. It affects only the frequency.
In the diagram, both y = -cos8x (purple) and y = -cosx (black) range from -1 to +1, but the purple cosine curve has eight times the frequency of the black one.
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Answer:
Step-by-step explanation:
Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.
1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.
2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:
The function g(x) is g(x)= (3x)^2
<h3>How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
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