Answer:
When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞
Step-by-step explanation:
Hi there!
First, let´s write the function:
f(x) = (7x⁵ - 3x +1) / (4x³ + 2)
When x ⇒ +∞
f(x) ⇒ (7x⁵ - 3x) / 4x³ because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.
f(x) ⇒7x⁵/4x³ - 3x/4x³
f(x) ⇒ 1.75x² - 0.75/x² (0.75/x² ⇒ 0 because a number divided by a very big number is approximately zero). Then:
f(x) ⇒ 1.75x² ⇒ +∞
When x ⇒ -∞
f(x) ⇒ 1.75x² = +∞ (because x² is always positive)
Then, when x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞
Answer: Marissa will use 8 eggs
Step-by-step explanation:
F(x) = x^(3/2) +3
f'(x) = (3/2)x^(1/2)
f''(x) = (1/2)*(3/2)*x^(-1/2)
f''(x) = 3/(4√x)
_____
If you mean f(x) = x√(x+3), parentheses are needed (or you need to typeset the expression).
