Quadratic Functions
Polynomial Functions
Inequalities and Variation
Rational Functions
Ch 1 Prep
Modules 1-2
100
The term for the point on the parabola where the maximum or minimum is reached
What is the vertex?
100
P(x)=-x^4-4x^3+2x+5
Find P(-3).
What is 26?
100
Intervals where the inequality is true:
(4-x)(x+3) <0
What is
(-infty,-3) uu (4, infty)
?
100
Domain and range of the given function in interval notation.
What is domain
(-infty,-3) uu(-3, infty)
and range
(-infty,0)
?
100
Evaluate
(3/5)^-2
What is
25/9
?
100
Solutions of
w=sqrt(5w-6)
What is 2 and 3?
200
The x-intercepts and the coordinates of the vertex for the parabola 
.
What is x=-2 and (-2,0)?
200
This is the degree of the polynomial function
f(x)=-(x-1)(x+1)(x-2)^2
What is 4?
200
In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 4 A (amperes), the resistance is 35 ohms. Find the current when the resistance is 28 ohms.
What is 5 A?
200
All intercepts of the function
What is (-4,0), (1,0), and (0, -4/3)?
200
An item is regularly priced at $45. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
What is $9?
200
Solutions of
x/(x-2)-12/(x^2-4)=3/(x+2)
What is 3?
300
The vertex form
f(x)=a(x-h)^2+k
of the quadratic function
f(x)=2x^2-4x-1
What is
f(x)=2(x-1)^2-3
?
300
Possible number of positive real zeros of the polynomial 
What is 3 or 1?
300
The volume V of a fixed amount of gas varies directly as the temperature T and inversely as the pressure P. Suppose that V=160 cm3 when T=320 kelvin and P=12 kg/cm2. Find the temperature when V=90 cm3 and P=16 kg/cm2.
What is 240 kelvin?
300
Equations of all vertical and horizontal asymptotes of the rational function
f(x)=(7)/(2x^2-4x+2)
What is x=1 and y=0?
300
Simplify.
sqrt45
What is
3sqrt5
?
300
Solutions of the compound inequality in interval notation
4v-6 le-14 and 3v-2le10
What is
(-infty,-2]
?
400
An aircraft factory manufactures airplane engines. The unit cost C(x) (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function. Find the minimum unit cost.
C(x)=1.1x^2-198x+19,272
What is C(90)=10,362?
400
Maximum number of nonreal zeros that the polynomial function of degree 11 with the known zeros of 4i, 3, and 5 can have.
What is 8?
400
Intervals where the inequality is true:
(x+6)(x-7)(x^2-4) ge 0
What is
(-infty,-6] uu[-2,2] uu[7,infty)?
400
The slant asymptote of the rational function
f(x)=(8x^3-13x+10)/(2x^2-4)
What is y=4x?
400
Simplify
2y^5u^3*4u^9*3y
What is
24y^6u^12
?
400
Solutions of
2x^2+13x+7=(x+5)^2
What is -6 and 3?
500
An equation for the total area, A(x) if:
A wire that is 32 centimeters long is cut into two pieces, and each piece is bent and formed into the shape of a square. Suppose that the side length (in centimeters) of one square is x. Find a function that gives the total area A(x) enclosed by two squares in terms of x.
What is
A(x)=2x^2-16x+64
?
500
The product of linear factors of the polynomial
h(x)=x^4+2x^3+10x^2+18x+9
if it is known that -1 is a zero with multiplicity 2.
What is
h(x)=(x+1)^2(x-3i)(x+3i)
?
500
The intervals on which the inequality is true:
1/(x+4) le 2/x
What is
[-8,-4) uu (0,infty)
?
500
Equation of a rational function that has x=-2 and x=-6 vertical asymptotes, y=0 horizontal asymptote, x-intercept at x=6, and passes through the point (0,1).
What is
f(x)=(-2(x-6))/((x+2)(x+6))
?
500
Quadratic trinomial
5y^2+9y-14
written in a factored form.
What is (5y+14)(y-1)?
500
Solution of the absolute value inequality in interval notation
|2x-1|-4>5
What is
(-infty,-4) uu (5,infty)
?