Answer:
As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5
Step-by-step explanation:
Given function:

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at
(where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator). This is the end behavior.

This is because as
the -7 of the numerator and the +8 of the denominator become negligible. Therefore, we are left with:

Therefore:


Answer:
x ≈ 10.7 ft.
Step-by-step explanation:
Given triangle in the picture is a right triangle.
By applying Pythagoras Theorem in this triangle.
(Hypotenuse)² = (Leg 1)² + (Leg2)²
(14)² = x² + 9²
x² = (14)² - 9²


x = 10.72
x ≈ 10.7 ft.
Answer: 1/6
Step-by-step explanation: because 6/6=1 and 36/6 = 6 sp it will be 1/6
Hi there!

We are given the equation:
x² - 2y = 7
To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:
1. (5)² - 2(8) = 7
25 - 16 = 9 ≠ 7. This is NOT correct.
2. (-1)² - 2(-3) = 7
1 + 6 = 7. This is correct.
3. (-4)² - 2(-11.5) = 7
16 + 23 = 39 ≠ 7. This is NOT correct.
4. (1.2)² - 2(-2.78) = 7
1.44 +5.56 = 7. This is correct.
Thus, only 1 and 4 are the correct answers.
1.
the absolute value of (-3) is 3
4 - 3
1