MATH107 Quiz-5 Write solutions on a separate paper 1. Use leading term rules to identify which one describes the ends behavior of the graph for the function f(x) = - x4 + 3x3 + 2x2 - x + 1 2. Solve Rational Equation: x+ 3 x = 2 x+ 1 x 1 3. Create sign diagram and find solution to this Rational Inequality: 4. For the given function f(x) = 5 x 6 2 x +3 x2 >1 find Inverse function f-1(x) and calculate f- (5) 1 log 2 5. Find 1 32 without using a calculator. Show work. Remember: 1 an = n a 6. Solve equation with radical: 11+5 x =x+3 7. Express in terms of sums and differences of logarithms: 3 log a x y 5 z 6 8. Solve the exponential equation: 2x - 9 5 = 125 9. Solve the logarithmic equation: log(x + 5) - log(x - 4) = 1 (log is log10 ) 10. $1,000 invested in an account which offers annual rate 1% compounded monthly. How much will be in the account after 5 years? 11. The temperature is rising according to the formula: T = 50 + 3020.018 t where t is time in minutes. Use this formula to find temperature after one hour. Round the answer to the nearest whole number. 12. The number of high schools in a town is modeled by the formula: N ( t )= 35 1+6 e0.1t where t is years after year 2000. a) Find and interpret N(0). b) How many high schools can we expect by the year 2020? Round the answer to the nearest whole number