Solving Equations and Functions

This video tutorial provides a comprehensive review of key mathematical concepts, including graphing, solving systems of equations, multiplication and simplification, factoring, trigonometric functions, and statistics. The instructor uses a step-by-step approach to explain each topic, ensuring students understand the methods and solutions. The video also covers the empirical rule in statistics and concludes with a final review of the main concepts.

What is the first step in identifying translations from a parent function?

• Check the y-intercept

• Look at the a value

• Determine the domain

• Find the range

Which method is used to solve the system of equations in the video?

• Substitution

• Graphing

• Matrix

• Elimination

What is the result of multiplying the square root of 5 by 4 times the square root of 15?

• 50 square root 4

• 45 square root 3

• 60 square root 2

• 30 square root 5

What is the product of (x - 8) and (x + 3)?

• x^2 + 11x - 24

• x^2 - 11x + 24

• x^2 + 5x + 24

• x^2 - 5x - 24

How do you find the vertical asymptotes of a function?

• Find the x-intercepts

• Set the denominator equal to zero

• Find the y-intercepts

• Set the numerator equal to zero

What should you check for after solving an equation involving fractions?

• Complex solutions

• Extraneous solutions

• Real solutions

• Imaginary solutions

What is the first step in finding the inverse of a function?

• Solve for y

• Solve for x

• Graph the function

• Switch x and y

How do you calculate the population of fruit flies after 14 days?

• 2000 times 0.8 raised to the 14th power

• 2000 times 0.8 raised to the 2nd power

• 2000 times 0.9 raised to the 14th power

• 2000 times 0.9 raised to the 2nd power

What is the reference angle for 40 degrees in quadrant four?

• 320 degrees

• 40 degrees

• 360 degrees

• 180 degrees

What is the amplitude of the trigonometric function y = 2 cos(1/2 pi x)?

• 4

• 1

• 2

• 3