Infinity and Beyond
Find the limit as x approaches infinity
f(x)= (3x2+2x / 5x - 7x2)
=3/7
Determine the equation of the line that contains the two points (−1,5) and (0,-2).
y=-7x-2
You’re born with 270 bones. How many bones do you have now?
206 bones
Find the limit as x approaches 2
f(x)= √ (5x+6)
=4
Find the limit as x approaches infinity
f(x)= (x2+2x / x + 3x3)
= 0
Find the instantaneous rate of change
3x2+4x-7
6x+3h+4
What country has a unicorn as it's national animal?
Scotland
Determine if the function is continuous at x=1
x2 + 7x ― 2, x<1
f(x){
-3x+5, x≥1
The function is NOT continuous at x=1
Find the limit as x approaches infinity
f(x)= (-10x4+2x / 5x - 6x3)
= - ∞
When you have the slope, what are the 2 formulas you can use to find the equation of the problem?
y=mx+b
OR
y-y1=m(x-x1)
What is the world's largest desert?
Antarctic Desert
Suppose that the relative fitness of a species of insect is determined by its wingspan and can be described by the function 𝑤(𝑧)=0.782−0.0295𝑧, where 𝑧 is the wingspan in millimeters and 𝑧>5
Find the relative fitness of an insect with the wingspan of 7.7 millimeters. Round to the 2nd decimal.
=0.55
In the Ancient Olympics, athletes competed naked.
It symbolized purity and closeness to the gods. What Olympic sport comes from the Greek work gumnós (naked)?
Gymnastics
Find the limit of h approaching 0
= 4x3+2xh-9h
=4x3
What Pope possibly led to a rise in rats and helped spread the Black Death?
Pope Gregory IX
(Cats were exterminated)
Suppose that the relative fitness of a species of insect is determined by its wingspan and can be described by the function 𝑤(𝑧)=0.782−0.0295𝑧, where 𝑧 is the wingspan in millimeters and 𝑧>5
Based on the function, what can you conclude about the wingspan and the insect’s fitness? (Hint: is a bigger or smaller wingspan better?)
Slope is negative, so a smaller wingspan is more fit
(beta less than 0)