Unit 2 Test Review

Front

What is the equation of the tangent line in point-slope form at the point (-3,17) for the function f(x) = x^2 - x + 5?

Back

y - 17 = -7(x + 3)

Front

Which of the following is not a Pythagorean Identity? \(\csc^2x + 1 = \cot^2x\) or \(\cot^2x + 1 = \csc^2x\)?

Back

\(\csc^2x + 1 = \cot^2x\)

Front

In which quadrants is sinθ positive?

Back

The 1st and 2nd quadrants.

Front

What is the formula for Average Rate of Change (ARoC)?

Back

\(\frac{y_2 - y_1}{x_2 - x_1}\)

Front

Use the Law of Cosines to find the measure of angle Z. What is the angle if the options are 20.145 degrees, 71.232 degrees, 51.055 degrees, and 57.713 degrees?

Back

71.232 degrees.

Front

What is the derivative of f(x) = x^2?

Back

f'(x) = 2x.

Front

What is the definition of a Pythagorean Identity?

Back

An equation involving trigonometric functions that is true for all values of the variable where the functions are defined.

Front

What is the formula for the Law of Cosines?

Back

c^2 = a^2 + b^2 - 2ab * cos(C) where C is the angle opposite side c.

Front

What is the range of the sine function?

Back

[-1, 1].

Front

What is the definition of a tangent line?

Back

A line that touches a curve at a single point without crossing it.