For numbers 1-5, Identify if the following rational
expressions are:
A. Rational Equation
B. Rational Function
C. Rational Inequality
D. None of these
7. A Rational Function is a function of the
form f(x)=P(x)/(x) where p(x) and
90x) are polynomial functions and g(x) is
not the zero polynomial (i.e., 9(x)=0). The
domain of f(x) is all values of x where
9(x)= 0.
8. The X-intercepts, if any, are values of x in
the domain off that satisfy the equation
p(x) = 0.
Select your answer inside the box. Write only the
LETTER of your answer before the number.
x2 - 25
0 1. 25
x+2
x² – 25
2. 2x =
x+2
9. A vertical line x = h is said to be a vertical
asymptote of f if f(x) increases or
decreases without bound as values of y get
closer to h.
22-25
3. F(x) =
x+2
4.
VX-25
= y
x +2
10. A horizontal line y = k is said to be
horizontal asymptote of f if f(x) gets
closer (approaches) to k as x values get
farther to the right (x increases without
bound) or if x values get farther to the left
(x decreases without bound).
X-36
5. Z=
x+6
11. The y-intercept, b is f(0), if o is in the
range off
For numbers 6-14: TRUE OR FALSE. Write A if the
given statement is TRUE and write B if the given
statement is FALSE. Write only the LETTER of your
answer before the number.
12. The leading term of 5x + x? - 2 is 5x.
13. The constants of x² + 5x - 2 are 1,5,-2.
6. A Polynomial Function P of degree n is a
function that can be written in the form
P(x)=anx" + an-1Xn-1+ an-2x1-2 + ... + a1x + +
do
14. The amount of work done is equal to the
product of the rate at which work is being
done and the amount of time required to
do the work
where do, a1,..., anER, anto, and n is a
positive integer.​