enVision Topic 6 review

Front

What is an exponential function?

Back

A mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base (b) is greater than 1, while exponential decay occurs when the base (b) is between 0 and 1.

Front

What is a horizontal asymptote?

Back

A horizontal line that the graph of a function approaches as x approaches positive or negative infinity.

Front

What is the horizontal asymptote of the function f(x) = 2(0.85)^x?

Back

y = 0.

Front

How do you determine the average rate of change of a function over an interval?

Back

The average rate of change is calculated as (f(b) - f(a)) / (b - a) for the interval [a, b].

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence of numbers in which the ratio between consecutive terms is constant.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n - 1), where a_1 is the first term and r is the common ratio.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.