The domain of the function is the set of all real numbers and the range of the function is the set of all values greater than -2
<h3>How to determine the domain and the range?</h3>
The function is given as:
f(x) = 2(x -4)^2 - 2
A quadratic function can take any real number as its input.
So, the domain of the function is the set of all real numbers
The vertex of the above function is:
Vertex = (4, -2)
And the leading coefficient is:
a = 2
The y value of the vertex is;
y = -2
Because the value of a is positive, then the vertex is a minimum.
This means that the range of the function is the set of all values greater than -2
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A. 8.75
B. 0.72
C. 9.31
D. 23.04
E. 6.98
Answer:
x < 9
Step-by-step explanation:
Subtract 2 from both sides so you can isolate the variable on the left.
If you’re asking for just the number of pounds then the answer is
200-33= 167 pounds
If you’re asking for a percentage of decrease it will be
200 - 33 = 177
_______ ____ = 0.885 x 100 will equal to 88.5% decrease.
200 200
Answer:
<em>Answer: C</em>
Step-by-step explanation:
<u>The Cosine Function</u>
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

Thus:

Therefore, the equation of the sinusoid is:

Answer: C