QUESTION 1 Exponential functions often involve the rate of increase or decrease

Question

QUESTION 1
Exponential functions often involve the rate of increase or decrease of something such as a population, for example. If there is a population increase, it is a _______ function and when there is a decrease, it is a ________ function.

QUESTION 2
Write Eulers Number (e) to three decimal places.

QUESTION 3
A general formula for exponential Growth can be given by:

A = P ekt

In your textbook, or using another reliable source, research what values, P, A, k and t represent and write your answer. (Hint: What do each of the variables stand for?)

QUESTION 4
pH is a measure of the hydrogen ion concentration of a solution. It is defined as the negative logarithm of the hydrogen ion concentration. The equation is:

pH = - log [H+]

If an acid has an H+ concentration of 10-4, what's the pH?

QUESTION 5
The given x-value is a solution (or an approximate solution) of the equation.
42x-7 = 16

x = 5

True
False

QUESTION 6
Write the exponential equation in logarithmic form.
43 = 64

QUESTION 7
Use the One-to-One property to solve the equation for x.

e(3x+5) = e6

QUESTION 7
The exponential equation y=bx is equivalent to the logarithmic equation x=logby

True
False

QUESTION 8
Evaluate the function at the indicated value of x. Round your result to three decimal places.

f(x) = 500e(.05)x Value: x=2

QUESTION 9
Select the graph of the function. Indicate which graph is correct: 1st, 2nd, 3rd, or 4th

f(x) = 5x-1

QUESTION 10
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. Assume all variables are positive.
log3 9x

QUESTION 11
The Logarithm Quotient Rule states:

logb(x / y) = logb(x) + logb(y)
logb(x / y) = logb(x) - logb(y)
logb(x y) = y logb(x)
logb(c) = 1 / logc(b)

QUESTION 12
Logarithms are the inverse of exponentials.

True
False

Explanation / Answer

1.  If there is a population increase, it is a exponential growth function and when there is a decrease, it is a exponential decay function.

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