Quiz De Mate

1. Determine the domain of the following function: fx=xx2-25 |
2. Determine the function value of y=x-3x2-9, if x=3. |
3. Given thefunction gx=6-4x if -2≤x<55 if x=5x2-7x+6 if x>5 a. Find g(8) b. Find g(4) c. Find g(5) d. Find g(-4) |
4. Givenfx=6x3-5x2+4x+1 and gx=9x3+4x2-7x+5 e. (f+g)(x) f. (f-g)(x) |
5. Given gx=5x3+3x2-2x+1 and hx=4x-5.Find (g* h)(x) |
6. Find theequation of the line containing 1, 3and (-2, 9). |
7. Consider that an auto with 3 years of use costs $ 85,000, but its value 2 yers ago was $95,000. If its value (v) varies linearly with the time of use (t): g. Determine the commercial value of the auto when it was new. h. Inhow many years does the auto will cost $ 60, 000? |
8. Find the solution set for the following inequality: 3x-8≥4. |
9. Given y=x2-3x-10,answer: i. Determine the intersection with the y-axis. j. Where does the grapf of the function is opened. |
10. Find the equation ofquadratic function containing (5, 22) with its vertex in the point (2, 5). |
11. Solve the following quadratic equation: x2-10x+34=0. |12. A projectile is launched vertically up. The height (h) reached by it, its represented for the equation, ht=-16t2+160t+60, where (h)is measuredin feet and t in seconds. k. Determine the maximum height reached by it. l. Determine the time when it reached the maximum height. |