Trigonometry and Function Evaluation

This video tutorial from mathotserve.com covers problems 1 to 5 from the June 2015 Algebra 2 Trigonometry Regents exam. It explains concepts such as one-to-one functions, determining the quadrant of an angle in radians, evaluating composite functions, simplifying radicals, and solving quadratic equations by completing the square. The video provides step-by-step solutions and encourages viewers to subscribe for more educational content.

What is the main focus of the video tutorial?

• Exploring statistics

• Reviewing Algebra 2 trigonometry problems

• Solving calculus problems

• Discussing geometry concepts

Which of the following is NOT a characteristic of a one-to-one function?

• Repetition of x-values is allowed

• Each output is assigned to exactly one input

• No repetition of y-values

• Each input has a unique output

How can you determine if a list of ordered pairs represents a one-to-one function?

• Check for repetition in y-values

• Check for repetition in x-values

• Ensure all y-values are negative

• Ensure all x-values are positive

What is the first step in converting radians to degrees?

• Subtract π from the radian measure

• Add 180 to the radian measure

• Multiply by π and divide by 180

• Multiply by 180 and divide by π

In which quadrant does an angle of 144 degrees lie?

• Quadrant III

• Quadrant IV

• Quadrant I

• Quadrant II

What is the value of f(g(-2)) if f(x) = 2x^2 + 1 and g(x) = 3x - 2?

• 130

• 128

• 129

• 127

What is the first step in evaluating a composite function?

• Subtract the inner function from the outer function

• Evaluate the inner function first

• Add the two functions together

• Evaluate the outer function first

How can you simplify the expression involving the cube root of 27?

• Express 27 as 9^2

• Express 27 as 5^3

• Express 27 as 3^3

• Express 27 as 6^2

What is the simplified form of the expression 6ab^2?

• 2a^3b^2

• 4ab

• 6ab^2

• 3a^2b

What is the first step in completing the square for the equation x² = 12x - 7?

• Divide both sides by x

• Multiply both sides by 2

• Subtract 12x from both sides

• Add 12x to both sides