Review For PreCal 1st Semester

Front

Evaluate: log_6(1/216)

Back

-3

Front

Solve for x: 8^(3x+3) = 8^6

Back

x = 1

Front

Identify the characteristics of the sinusoidal graph: f(x) = \frac{1}{2}sin(2(x - \frac{\pi}{2}))

Back

The graph was shifted to the right \frac{\pi}{2}.

Front

Write in exponential form: log_2(32) = 5

Back

2^5 = 32

Front

If a 6 foot person casts a 2 foot shadow, how tall is a flagpole that casts a 10 foot shadow?

Back

30 feet

Front

Define logarithm.

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the formula for the period of a sine function?

Back

The period of a sine function is given by \frac{2\pi}{b}, where b is the coefficient of x.

Front

What is the amplitude of a sinusoidal function?

Back

The amplitude is the maximum distance from the midline to the peak or trough of the graph.

Front

Convert the logarithmic equation log_b(a) = c to exponential form.

Back

The exponential form is b^c = a.

Front

What is the relationship between the height of an object and the length of its shadow?

Back

The height of an object is proportional to the length of its shadow, assuming the light source is at the same angle.