Final Jeopardy Question Exp. Equations Log Equations INV Equations Graphs 500 500 500 600 500 400 400 400 400 300 300 300 300 200 200 200 200 100 100 100 100 Final Jeopardy Question

Category 1 500 pts No Calculator Solve Back

Category 1 400 pts No Calculator Solve X=5/6 Back

Category 1 300 pts No Calculator Solve e(x-3) = 35 X=ln(35) + 3 Back

X=log(2848)/(4log5) No Calculator Solve 5(4x) = 2848 Category 1 200 pts No Calculator Solve 5(4x) = 2848 X=log(2848)/(4log5) Back

Category 1 100 pts No Calculator Solve 16(3x +1) = 64 X=1/6 Back

Find the exact solution Category 2 500 pts Find the exact solution ln(3-x) - ln(2-x) = 1 X=(2e-3)/(e-1) Back

Category 2 400 pts Solve without calc. log(8+x) = log(4-x) X=1 Back

Category 2 300 pts Solve ln(1-3x) =5 X=(e5 - 1)/-3 Back

Category 2 200 pts Solve ln6 5x = 3000 X=600/(ln6) Back

log(x + 6)-log(x)=log(x + 2) Category 2 100 pts Solve: log(x + 6)-log(x)=log(x + 2) X=2 Back

Is h(x) one-to-one? Verify algebraically. Category 3 500 pts Is h(x) one-to-one? Verify algebraically. Back

Find the inverse of f(x), f(x) = 16(3x +1) +1 Category 3 400 pts Find the inverse of f(x), f(x) = 16(3x +1) +1 Back

Category 3 300 pts Find the domain of Back

Category 3 200 pts Find g-1(x) if g(x) = log(4-x) Back

Find the inverse of h(x) Category 3 100 pts Find the inverse of h(x) Back

Category 4 500 pts No Calculator Solve 5(3x +1) = 64(6-x) Back

Category 4 400 pts No Calculator Solve 5(x) = 64(6-x) Back

Y=(2^(x-1) - 4)/-3 Find the inverse of j(x) = log2(4 - 3x) + 1 Category 4 300 pts Find the inverse of j(x) = log2(4 - 3x) + 1 Y=(2^(x-1) - 4)/-3 Back

State the domain, range, any asymptotes, and the transformations of Category 4 200 pts State the domain, range, any asymptotes, and the transformations of j(x) = log2(4 - 3x) + 1 compared to k(x) = log2(x) ANSWER Back

(1,1) and (2,2) Name two points on k(x) = log2(x) + 1 Category 4 100 pts Name two points on k(x) = log2(x) + 1 (1,1) and (2,2) Back

g(x) = 4(x + 1) - 2 compared to f(x) = 4x Category 5 500 pts State the domain, range, two points, any asymptotes, and the transformations of g(x) = 4(x + 1) - 2 compared to f(x) = 4x ANSWER Back

g-1(x) = log4(x+2) - 1 State the inverse function of Category 5 400 pts State the inverse function of g(x) = 4(x + 1) - 2 g-1(x) = log4(x+2) - 1 Back

Category 5 300 pts k(x) = bx, write the function t(x) that is reflected over the x-axis, horizontally shifted left five units and vertically shifted up two units. Y=-b(x+5) + 2 Back

k(x) = bx, name two points on the graph. Category 5 200 pts k(x) = bx, name two points on the graph. (0,1) and (1,b) Back

k(x) = bx, how do you know that it is increasing or decreasing? Category 5 100 pts k(x) = bx, how do you know that it is increasing or decreasing? If b>1, the graph increases If 0<b<1, then decreases Back

Review: pp. 363-65 # 1,4,65,67,69,71,72,74, 75, & if needed 43-61 odd Final Jeopardy Review: pp. 363-65 # 1,4,65,67,69,71,72,74, 75, & if needed 43-61 odd Back

Category 1 100 pts No Calculator Solve 16(3x +1) = 64 Back

Category 1 200 pts No Calculator Solve 5(4x) = 2848 Back

Category 1 300 pts No Calculator Solve e(x-3) = 35 Back

Category 1 400 pts No Calculator Solve Back

Category 1 500 pts No Calculator Solve Back

log(x + 6)-log(x)=log(x + 2) Category 2 100 pts Solve: log(x + 6)-log(x)=log(x + 2) Back

Category 2 200 pts Solve ln6 5x = 3000 Back

Category 2 300 pts Solve ln(1-3x) =5 Back

Category 2 400 pts Solve without calc. log(8+x) = log(4-x) Back

Find the exact solution Category 2 500 pts Find the exact solution ln(3-x) - ln(2-x) = 1 Back

Category 3 100 pts If I invest $3000 dollars at 6.8% for 20 years with interest compounded monthly, how much money will I have? Back

Category 3 200 pts If I invest $3000 dollars for 35 years and end up with $60,000, what was my annual interest rate? Back

Category 3 300 pts If I invest $3000 dollars for 35 years and end up with $60,000, but received interest quarterly. What was my interest rate? Back

Category 3 400 pts The half life of carbon-14 is 5750 years. Ivory was found to have lost 35% of its carbon-14. How old was the ivory? Back

Category 3 500 pts In 1985, the average consumption of beef was 80lbs per person. In 1996 it was 67 lbs. If exponential, when will it be 50lbs? Back

Category 4 100 pts Name two points on k(x) = log2(x) + 1 Back

State the domain, range, any asymptotes, and the transformations of Category 4 200 pts State the domain, range, any asymptotes, and the transformations of j(x) = log2(4 - 3x) + 1 compared to k(x) = log2(x) Back

Category 4 300 pts Find the inverse of j(x) = log2(4 - 3x) + 1 Back

Category 4 400 pts Name two points on j(x) = log2(4 - 3x) + 1 Back

Category 4 500 pts If f(x) = log(x), f(a) = 3n, f(b) = n, then the ratio of a:b is _______. Back

k(x) = bx, how do you know that it is increasing or decreasing? Category 5 100 pts k(x) = bx, how do you know that it is increasing or decreasing? Back

k(x) = 7x, name two points on the graph. Category 5 200 pts k(x) = 7x, name two points on the graph. Back

j(x) = 7x +4 - 8, how does compare to j(x) = 7x? Category 5 300 pts j(x) = 7x +4 - 8, how does compare to j(x) = 7x? Back

Category 5 400 pts Find the inverse of j(x) = 7x +4 – 8. Back

Verify j(x) is one to one algebraically. Category 5 500 pts Verify j(x) is one to one algebraically. j(x) = 7x +4 – 8. Back

Optional Review: pp. 337-340 # 1-6,21,33-41 odd, 67-71 odd, 83, Final Jeopardy Optional Review: pp. 337-340 # 1-6,21,33-41 odd, 67-71 odd, 83, Back

Horizontal Asymptote y = -2 Shifts left one unit and down two units. Category 5 500 pts D: (-,) R: (-2, ) Horizontal Asymptote y = -2 Shifts left one unit and down two units. Back

j(x) = log2(4 - 3x) + 1 j(x) = log2[-3(x-4/3)] +1 Category 4 400 pts Back j(x) = log2(4 - 3x) + 1 j(x) = log2[-3(x-4/3)] +1 (1,0) and (2,1) are on y=log2x (-1,0) & (-2,1) due to the “-” (-1/3,0) & (-2/3,1) due to the “3” (1,0) & (2/3,1) due to the “4/3” (1,1) & (2/3,2) due to the “1”

j(x) = log2(4 - 3x) + 1 j(x) = log2[-3(x-4/3)] +1 Category 4 200 pts Back j(x) = log2(4 - 3x) + 1 j(x) = log2[-3(x-4/3)] +1 the “-” reflects the graph over the y-axis, the “3” compresses the graph horizontally by a factor of 3, shifts right 4/3 and up one unit.

Exponential Equations $100_________________________________________ $200_________________________________________ $300_________________________________________ $400_________________________________________ $500_________________________________________

Logarithmic Equations $100_________________________________________ $200_________________________________________ $300_________________________________________ $400_________________________________________ $500_________________________________________

Inverses $100_________________________________________ $200_________________________________________ $300_________________________________________ $400_________________________________________ $500_________________________________________

Equation $600_________________________________________

graphs $100_________________________________________ $200_________________________________________ $300_________________________________________ $400_________________________________________ $500_________________________________________