MAT 145 Midterm: MATH 145 Illinois State Test01PracticeSolutions
Document Summary
A one to one function requires that each output value results from one and only one unique input value. (5) domain: x < 3 (denominator cannot be 0; argument of square root must be positive); range: y > 0 (we can make the denominator as close to 0 as we want, by making x approach 3 from the left side [i. e. , 2. 9, 2. 99, 2. 999, and so on]; this assures us we can make the entire fraction grow positively without any upper bound. [numerator always 1] and the fraction remains positive [positive numerator, positive denominator) (6) (a) (6) b) v(x) = (16 2x)(10 2x)(x) (7) 120 cells (three doublings occur with initial population of 15 cells) (8) 7680 cells: create a function to model the situation: p(t) = 15*23t, with p representing the number of bacteria in the population at time t, t in hours.
