1. Determine which formula to use by the x values. Then apply that value to the formula selected. Where are the calculations?
2a. You need to provide the end behavior. On the right, is it going up or down and also what happens on the left? Distribute the x^2 before determining the degree of the polynomial. Then use the Leading Coefficient Test. Refer to section 2-6 for examples and sample problems, here you will find how to describe end behavior.
2b. At the x intercept, y=0. Since this is quadratic, how would you know if it intercepts or touches the x-axis? You can also graph to find out.
2c. At the y-intercept x=0. Use this to find the ordered pairs for each intercept.
3. You can re-write each factor as another trig function squared. 1+tan^2u=(standard identity)? and 1-sin^2u=(standard identity)? Once you do that, the next steps are clear.
4. You cannot take terms across the = when doing a proof. You must show that the LHS=RHS. See if you can use cot^2(x)+1 = csc^2(x) to help you do this.
5. You must first plot all the points - it will be sinusoidal ( following the shape of the typical sin curve). Use your graph to determine the variables A, Φ, ω and B. You can then write the equation for the graph. As a note for these trig functions, it is best to leave them in terms of pi where possible. Please refer to section 4-2 for examples and sample problems. The general form of the sine function is: y = Asin(ωx + Φ) + B where: 'A' is the amplitude of the function, the period of the function is: T = 2pi/ω and the phase shift of the function is: Φ/ω.Show how you arrived at your answer.
6. For the relationship to be considered a function there is only one value of the range (y) for every value of the domain (x). This will pass the VLT. Have a look at the graph. Would it pass the VLT?
7. You find the VA's by setting the denominator to 0. When we get a factor that cancels out, it is not a vertical asymptote. What is it? Graph it to see what it looks like.
8. You find the reference angle by adding or subtracting 360 degrees or 2pi. Final answer depends on which quadrant the angle falls and the reference angle.
9. At the x-intercept, y=0.This makes this a quadratic equation. Use the Quadratic Formula to find x - no decimals here you have been asked for exact form. Simplify any radicals that can be simplified. Show your work for full credit.
10. You need to show your work logic how you arrived at your answer. Where are the supporting calculations? Please refer to section 3-1 for examples and sample problems.
11. The transformations are detectable in the equation. Review shifts and stretches and shrinks. This will tell you. Graph to confirm.
12. You find the reference angle by adding or subtracting multiples of 2pi if given in terms of pi or 360 deg. Here is a link for you http://www.analyzemath.com/Angle/reference_angle.html.