Representations of Rational Function (2 ACTIVITIES)

Please present a full solution/explanation.

PART 1.

1. It is in the form of f(x) = P(x) q (x ) where p(x) and q(x) are polynomial functions and q(x) is not equal to zero. A. Rational Equality C. Rational Function B. Rational Inequality D. None of these 2. Complete the table using the equation f(x) = x A. 12 C. 16 B. 14 D. 18 3. Martha has won 19 out of 28 tennis matches this season. Which equation models suggest how many more games she needs to win to average 75% wins over loses? X 2 3 4 f(x) 4 9 ? 19 19 A. = 0.75 C. = 75 20+x 28+x B. 19+.x = 0.75 D. 19+x = 75 28+x 28+x 4. In order to get a college tennis scholarship, Martha needs to bring her winning average to 80%. What is the number of match es she needs to win given that she already won 19 out of 28? A. 3 C. 17 B. 4 D. 22 5. Joel is working on his chemistry project and he has 300mL of 12% acid solution. If he needed to decrease the acidity of the solution, which of the following is the correct function that would show the new acidity of the solution given x mL of water added? 36 12 A. f(x) = 300 + x c. f(x) = 300 + x 0.36 B. /(x) = 0.12 300 + x D. F (x) = 300 + x1. It is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. A. Function C. Set B. Relation D. Subset 2. It is a family of functions where y = - belongs. A. Trigonometric C. Exponential B. Logarithmic D. Rational 3. It is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph. A. Graphic Organizer C. Table of Values B. Equation D. Graph 4. It is a collection of points and lines connecting some (possibly empty) subset of them. A. Graphic Organizer C. Table of Values B. Equation D. Graph 5. It is a statement that the values of two mathematical expressions are equal. A. Graphic Organizer C. Table of Values B. Equation D. Graph