precalc vocab Quiz 2 Q3

Which of the following terms does not describe the value of x in the expression below?

2y^x

• Power

• Exponent

• Index

• Root

A pond, where a population of frogs has found a habitat, is polluted and severely destroyed by a storm.

The equation modelling the frog population after the storm is f(x) = 100 (0.82)^x.

What is happening to the frog population?

• Exponential growth by a rate of 82%

• Exponential decay by a rate of 18%

• Exponential growth by a rate of 182%

• None of the above

A rabbit population has invaded a local farm. The farmer, by tagging and counting the rabbits he's caught, models their growth by the function f(x) = 8 (1.26)^x.

• The rabbits are getting sick from the farmer's produce.

• The farmer is catching less of the rabbit population over time.

• The rabbit population is growing exponentially.

• None of the above

Identify the logarithms below. Select all that apply.

• ab^x

• log₂4 = 2

• ln5

• ln30

Identify the natural logarithms below. Select all that apply.

• log_e10

• ln10

• log16

• log_e16

The general term for a line that a graph can get close to, but never pass, is its ______________.

• limit

• domain restriction

• asymptote

• range restriction

The constant that controls compound interest, and is approximately equal to 2.71828, is known as ______________.

Select all that apply.

• Euler's number

• e

• Bernoulli's number

• Growth constant

log₂(4 • 8) = log₂4 + log₂8

• This is the product property (breaking multiplication down to addition)

• This is the quotient property (breaking division down to subtraction)

• This is the additive property

• This is the multiplicative property

Given x³ -3x - 4, the numbers 1 and -3 are

• terms

• coefficients

• variables

• constants

Another name for multiplicative inverse

• denominator

• expression

• reciprocal

• opposite