Practice Test--Lessons 1-4 of Module 9

Front

What is the y-intercept of the function y = 35(0.65)^x?

Back

(0, 35)

Front

A town with a population of 5,000 grows at a rate of 3% per year. What will be the population after 10 years?

Back

6,719

Front

Evaluate the logarithm log(10) of 10.

Back

1

Front

What is the horizontal asymptote of the graph of y = 2^x - 3?

Back

y = -3

Front

Rewrite the exponential equation x^6 = 64 into its logarithmic form.

Back

log_x 64 = 6

Front

Define the term 'exponential growth'.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the formula for calculating compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

What does the base of a logarithm represent?

Back

The base of a logarithm indicates the number that is raised to a power to obtain a given number.

Front

What is an asymptote in a graph?

Back

An asymptote is a line that a graph approaches but never touches or crosses.

Front

How do you convert a logarithmic equation to an exponential equation?

Back

If log_b(a) = c, then it can be rewritten as b^c = a.