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Running Head: COLLEGE ALGEBRA College Algebra Name of the Student Name of the University Author Note
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17COLLEGE ALGEBRA Answer 23 f(x)=x2−x3 (a)Since the highest power of the polynomial is 3 and the leading coefficient is negative, the graph rises to the left and falls to the right. (b)To find the x-intercept: x2−x3=0 ¿>x2(1−x)=0
18COLLEGE ALGEBRA ¿>x=0,1 Therefore, the x-intercepts are (0, 0) and (1, 0). The graph touches the x-axis at (0, 0) and crosses the intercept at (1, 0). (c)To find the y intercept: f(x)=x2−x3 ¿>f(x)=0 Therefore, the required y-intercept is (0, 0) (d)The graph neither has a y-axis symmetry and also does not have anything according to the origin. (e) Answer 24
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26COLLEGE ALGEBRA Answer 7 xf(x) = 62 + 35 log (x - 4) 562 672.54 778.70 883.07 986.46 1089.24 1191.58 1293.61 1395.40 1497 1598.45 Thus, the approximate percentage of the adult height of a girl attained at the age of 13 is 95.40 percent.
27COLLEGE ALGEBRA Answer 8 Answer 9
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32COLLEGE ALGEBRA Answer 20 (a)The scatterplot of the given data is given below: 7580859095100105 0 100000 200000 300000 400000 500000 600000 700000 Age at Death Savings Needed (b)From the graph, it can be seen clearly that an exponential function is the best for modelling the data.