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:
Option B. The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
The correct quadratic equation is
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
Convert to vertex form
Factor -3
Complete the square
Rewrite as perfect squares
The vertex is the point (2,-21)
therefore
The equation has a maximum value with a y-coordinate of -21