unit a reviiew

Front

What is the equation of the graph that matches the function?

Back

y = log_5 (x + 1) + 1

Front

What is the x-intercept of the function \( \log_7(x) \)?

Back

(1,0)

Front

What is the range of the function \( \log_b(x) \)?

Back

(-∞, ∞)

Front

What is the general form of a logarithmic function?

Back

y = log_b(x - h) + k, where (h,k) is the translation of the graph.

Front

How do you find the x-intercept of a logarithmic function?

Back

Set the function equal to zero and solve for x.

Front

What is the domain of the function \( \log_b(x) \)?

Back

(0, ∞) - x must be greater than 0.

Front

What does the base of a logarithm represent?

Back

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

Front

What is the formula for 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

If Fong puts $150 into an account every month for 8 years at 3.5% interest compounded monthly, how much will he have?

Back

$16,590.38

Front

What is the effect of increasing the base of a logarithm on its graph?

Back

Increasing the base makes the graph grow slower.