Since
, it follows that
where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so
Answer:
(b) domain: (-∞, ∞)
(c) f(x) = 3 only at x=1
(d) range: (-∞, 3]
Step-by-step explanation:
(b) The domain is the horizontal extent of the region over which the function is defined. The function f(x) is defined for all x, from -∞ to +∞. The arrowheads on the ends of the graph mean the graph extends to infinity in x and y directions from those points (y goes to -∞, while x goes to ±∞).
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(c) Locate the horizontal grid line y=3 on the graph. Find all the points where it intersects the graph. There is only one: (1, 3). That is, x=1 is the only x-value for which f(x) = 3.
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(d) The range of the function is its vertical extent. The graph of f(x) extends from y = -∞ up to y = 3, so that is the range.
Answer:
What is the value of x?
<em>x = 40 degrees.</em>
What is the measure of angle AFE?
<em>Angle AFE = 140 degrees</em>
What is the measure of angle BFD?
<em>Angle BFD = 140 degrees.</em>
Step-by-step explanation:
Angle AFC is 90 degrees.
To find angle x, we have to subtract angle BFC.
90 - 50 = 40 degrees.
Line BFE is 180 degrees.
To find angle AFE, we have to subtract angle x from 180 degrees.
We have solved x already.
180 - 40 = 140 degrees.
Angle BFD is just 90 degrees plus 50 degrees.
90 + 50 = 140 degrees.
its wrong
Step-by-step explanation:
