Honors Precalculus - Chapter 3 Review

Front

What is the range of the function f(x) = 3(2)^(x-4) + 5?

Back

The range is (5, ∞).

Front

Condense the expression: 5log(a) - 25log(b)

Back

The condensed form is log(\frac{a^5}{b^{25}}).

Front

What is the range of the graph of y = 2^x + 3?

Back

The graph is shifted up 3 units from the parent function y = 2^x.

Front

Solve for x: 2log(2x)^4 = 16

Back

x = 50.

Front

What does the expression y > -6 represent in terms of a graph?

Back

It indicates that the y-values of the graph are greater than -6.

Front

What is the definition of a logarithm?

Back

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

Front

What is the parent function of exponential functions?

Back

The parent function of exponential functions is y = a^x, where a > 0.

Front

How do you find the range of an exponential function?

Back

The range of an exponential function f(x) = a^x + k is (k, ∞) if a > 0.

Front

What is the effect of adding a constant to an exponential function?

Back

Adding a constant shifts the graph vertically.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.