Correct answers only ! what are the asymptotes of the graph of f(x) ? select each correct answer.

(A) y = 15 (B) y = 0

Step-by-step explanation:

The vertical asymptote is the restriction on the x-value.  Since the denominator cannot be equal to zero, then

   1 + 4e⁻⁰⁻²ˣ ≠ 0

→  4e⁻⁰⁻²ˣ ≠ -1  

→   e⁻⁰⁻²ˣ ≠  

→  ln e⁻⁰⁻²ˣ ≠  

Note: ln cannot be negative. So, there is no vertical asymptote.

The horizontal asymptote can be found by finding the limit as x approaches positive and negative infinity.

So, the horizontal asymptote when x → +∞ is y = 15

So, the horizontal asymptote when x → -∞ is y = 0

show da graph

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²