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.
Let x be the number of cars. We will find out how many cars you have to wash to make as much money as your friend:
10x - 25= 13x - 55 Add 25 on both sides and subtract 13x, also both sides:
3x = -30 Now divide both sides by -3:
x= 10 cars you have to wash.
Step-by-step explanation:
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