General Directions: Read and understand each statement carefully Avoid unnecessary erasure or alterations L ALTERNATE RESPONSE: Choose TRUE if the given statement is correct and FALSE if otherwise. Write your answer on the space provided; your answer is right minus wrong. 1. Function is a relation where each element in the domain is related to only one value in the range by some rule. 2 Element is a rule that relates values from a set of values (called the domain) to a second set of values (called the range). 3. A linear function is a function of the form ((x) = ax + b, where a= 0. 4. In evaluating a function means replacing the number in the function, in this case x, with a value from the function's domain and computing for the result. 5. A rational expression can be described as a function where either the numerator, denominator, or both have a variable on it. 6. Eliminate denominators by multiplying each term of the equation by the least common denominator is one of the procedure to compute a rational fractions. 7. The domain of a function is the set of all values that the variable x can take. B. A function has an inverse if and not only if it is one-to one. I at the and of the period is added to the principal, and this8. A function has an inverse if and not only if it is one-to-one. 9. If the interest rate is compounded, the interest earned at the end of the period is added to the principal, and this new amount will earn interest in the next period 10. An exponential function is "solved' rather, It expresses a relationship between two variables (such as x and y), and can be represented by a table of values or a graph. 11. Common logarithms are logarithms with base 10: the base 10 is usually omitted when writing common logarithms. 12. The reverse of a one-to-one function can be interpreted as the same function but in the opposite direction, that Is, it is a function from a y-value back to its corresponding x-value. 13. A rational equation or inequality can be solved for all x values that satisfy the equation or inequality. 14. The vertical asymptote is the line x = 0 (or the y-axis). There is no horizontal asymptote. 15. The domain is the set of all positive asymptote.II. MULITPLE CHOICE: In circle the letter of correct answer on the given problems. 1. Find the perimeter of the fence if one side has length 10 meters, 50 meters. a. 100m, 116m b. 110m, 117m c. 110m, 116m d. 100m, 115m 2. Ten goats were set loose in an island and their population growth can be approximated by the function p(1)-60(t+1)._How many goats will there be after 5 years? 1+6 a. 30 b. 31 c. 32 d.335 Find the inverse of the rational function f(x) =2x . 1 / 3x-4 O a 3y-1/3x-2 b. 2y+1 / 3x+2 c. 4x+1 / 3x-2 d. 4x-1/3x+2 5. You take out a P20,000 loan at a 5% interest rate. If the interest is compounded annually, (a) give an exponential model for the situation, and (b) how much will you owe after 10 years? a. P32 577.89.b. 32.557.89 c. 32.507 89 d. 32.557.89 7. What exponent of 9 will give 7297 a 33 b. 4 c. 3 d. 2 B. What exponent of 1/2 will give 167 4 b. 3 0 -3 d. -4 9. Find the inverse functions of the following one-to-one functions: f(x) =1 2x + 4 a 1-1(x) = 2x-8 b. 1-1(x)=2x48 cf+1(x)=2x(8) d.f+1(x)=2x/8 10. To rewrite the following logarithmic equations in exponential form where log 0.001=-3 is? a. 10-3-0.001 b. 10+3 =0.001 c. 10.3=0.001 d. none of the choiceIt Give the solutions of the following problems: Find the inverse functions of the following one-to-one functions: (for 1point each) 10) 1020 - 3/4-4 (d) (x] =x.3x-3 10] (x) - 2x+1/4x-1 2. Perform the following fundamental operations on the given functions. (for 4 points each.) (x) =3x +1 and g (x)= a) (f + 8 )(x) by (f -8) (x) (f . 8)(x) d) 5+3x 2(x-1) x42 2x-4_ =1 3 2 10 8