The answer is B
To visualize this, think of the first line as saying "As x approaches negative infinity, f(x) (or just y) approaches __". As the graph goes left, it goes up: so, as x approaches negative infinity, f(x) approaches infinity. As the graph goes right, it goes down: so, as x approaches infinity, f(x) approaches negative infinity.
Answer:
a) f(-1/2) = -2 is NOT TRUE.
b) f(0) =3/2 is TRUE.
c) f(1) = -1 is NOT TRUE.
d) f(2) = 1 is NOT TRUE.
e) f(4) = 7/2 is TRUE.
Step-by-step explanation:
Here, the given function is 
Now, checking for each values for the given function:
a) Putting x = (-1/2):

and (5/4) ≠ -2
Hence, f(-1/2) = -2 is NOT TRUE.
b)Putting x = 0 :

Hence, f(0) =3/2 is TRUE.
c) Putting x = 1:

Hence, f(1) = -1 is NOT TRUE.
d)Putting x = 2:

and (5/2) ≠ 1
Hence, f(2) = 1 is NOT TRUE.
e)Putting x = 4:

Hence, f(4) = 7/2 is TRUE.
Answer:
B. 122, 257, 137
Step-by-step explanation:
The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A
Testing for the options:
1) 10, 20, 30
10 + 20 (= 30) is not greater than 30. It cannot form a triangle
2) 122, 257, 137
122 + 137 (259) is greater than 257. It can form a triangle
3) 8.6, 12.2, 2.7
8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle
4) 1/2, 1/5, 1/6
1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle
For finding the answer of such a question, we only multiply the function by the given value. so as for f(x)=34x2−1, The function g(x), a vertical stretch of f(x) by a factor of 8 is g(x) =8(34x2−1)
<span>number of gallons of gas, x
</span><span>total cost of the gas, y
</span>
3.75x <= 12
x <= 3.2
<span>The greatest amount of gas Berto can buy is 3.2 gallons</span>