Grad at 02:23, 21 March 2015

2015-03-21T02:23:01Z

Grad: Created page with "Question 1. Find $f^{-1}(x)$ for $f(x) = \frac{3x-1}{4x+2}$ Question 2 a) Find the vertex, standard graphing form, and X-intercepts for $f(x) = \fr..."$

2015-03-21T01:51:52Z

Created page with "Question 1. Find <math>f^{-1}(x)</math> for <math>f(x) = \frac{3x-1}{4x+2}</math> Question 2 a) Find the vertex, standard graphing form, and X-intercepts for <math>f(x) = \fr..."

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Question 1. Find <math>f^{-1}(x)</math> for <math>f(x) = \frac{3x-1}{4x+2}</math>

Question 2 a) Find the vertex, standard graphing form, and X-intercepts for <math>f(x) = \frac{1}{3}x^2 + 2x - 3</math><br>
                  
b) Sketch the graph. Provide the Y-intercept.

Question 3. Solve. Provide your solution in interval notation.     <math>\vert 4x + 7\vert \ge 5</math>

Question 4. Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>

Question 5. Describe how the graph of <math>f(x) = 3^{(x+1)} - 2</math> can be obtained from a basic graph. Then sketch the graph. Provide at least two ordered pairs, and the equation of any asymptote.

Question 6. Simplify.      <math>\frac{1}{3x + 6} - \frac{x}{x^2-4} + \frac{3}{x-2}</math>

Question 7. Given a sequence <math>10, y, 4, 1, \ldots</math> use formulae on the back page to compute <math>S_{20}</math>

Question 8 a) List all the possible zeros of the function.<br>
                   b) Find all the zeros, that is, solve f(x) = 0

Question 9.Graph the function. Give equations of any asymptotes, and list any intercepts.     <math>y = \frac{6}{x^2 - x - 2}</math>

Question 10. Decompose into separate partial fractions.      <math>\frac{6x^2 + 27x + 31}{(x + 3)^2(x-1)}</math>

Question 11. Find and simplify the difference quotient <math>\frac{f(x + h) - f(x)}{h}</math> for <math>f(x) = \sqrt{x - 3}</math>

Question 12. Set up, but do not solve the following word problem. Two private airplanes travel toward each other from cities that are 780 km apart at speeds of 190 km/hr and 200 km/hr. They left at the same time. In how many hours will they meet?

Question 13. Compute <math>\displaystyle{\sum_{n = 1}^6 4\left(\frac{1}{2}\right)^n}</math>

Question 14 a) Find an equation of the line passing through (-4, 2) and (3, 6).<br>
                  
b) Find the slope of any line perpendicular to your answer from a)

Question 15. Solve. <math>\log(x + 8) + \log(x - 1) = 1</math>

Question 16. Solve. <math>\sqrt{x - 3} + 5 = x</math>

Question 17. How many ways can a committee of four people can be selected from five married couples if no committee is to include both husband-and-wife pairs? (simplify your answer to a single number)

Question 18. Ten teams are entered in a bowling tournament. In how many ways can first, second, and third prizes be awarded? (simplify your answer to a single number)

Question 19. Solve for x:      <math>\log_6 \frac{1}{36} = x</math>

← Older revision		Revision as of 02:23, 21 March 2015
Line 1:		Line 1:
−	Question 1. Find <math>f^{-1}(x)</math> for <math>f(x) = \frac{3x-1}{4x+2}</math>	+	Question 1. Find <math style = "vertical-align: -17%;">f^{-1}(x)</math> for <math style = "vertical-align: -17%;>f(x) = \frac{3x-1}{4x+2}</math>

	Question 2 a) Find the vertex, standard graphing form, and X-intercepts for <math>f(x) = \frac{1}{3}x^2 + 2x - 3</math><br>		Question 2 a) Find the vertex, standard graphing form, and X-intercepts for <math>f(x) = \frac{1}{3}x^2 + 2x - 3</math><br>

4S12Final - Revision history

Grad at 02:23, 21 March 2015

Grad: Created page with "Question 1. Find f^{-1}(x) for f(x) = \frac{3x-1}{4x+2} Question 2 a) Find the vertex, standard graphing form, and X-intercepts for f(x) = \fr..."

Grad: Created page with "Question 1. Find $f^{-1}(x)$ for $f(x) = \frac{3x-1}{4x+2}$ Question 2 a) Find the vertex, standard graphing form, and X-intercepts for $f(x) = \fr..."$