Analysis Unit 4 Test

Front

Solve: 9^(8-x) = 27^(x-3)

Back

x = 5

Front

Is the pictured graph growth, decay, or linear or none?

Back

Exponential Growth

Front

Solve for x: log_6(x) + log_6(x-5) = 2

Back

x = 9

Front

Determine the range for the function f(x) = 3(2)^(x-4) + 5

Back

(5,∞)

Front

Write the equation in exponential form: log_2(x - 4) = 6

Back

2^6 = x - 4

Front

What is the definition of exponential growth?

Back

A process where the quantity increases at a rate proportional to its current value.

Front

What is the definition of exponential decay?

Back

A process where the quantity decreases at a rate proportional to its current value.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the range of a function?

Back

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

Front

What is the definition of a logarithm?

Back

The logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number?