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 ±∞).
__
(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.
__
(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:
-4
Step-by-step explanation:
f(-2) Means the y value when x is -2. Just find x=-2 and trace it until it intersects with the blue line. Then get the y-value of the point
Answer:
You would need 9/4 or 2 1/4 gallons of paint
Step-by-step explanation:
You would need 2 1/4 gallon of paint because if 1/3 of the room takes 1/4 paint, then 3/4 would finish a room, multiply the three by three for three rooms and there you have 9/4 or 2 1/4 gallons
The answer to your question would be 'A'
Answer:
x = 10
Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)
Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)
This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions
Hope this helps :)
