Algebra
( x4)(x-13)=
what is (1)/(x9)
solution set=??
5-(x/2) = 14
{ -18}
Find intercepts and symmetry for y = x3- 4x
intercepts x = 0, 2,-2 y = 0
Origin symmetry(odd function)
f(x) = 7x-3, g(x) = 4x -1
find f(g(2))
f(g(2)) =46
f(x) = -(x-2)2 + 4
find domain and where it is increasing
Domain is all Reals
Increasing(-inf, 2]
Simplify ( x+9)2
x2+18X + 81
find x
(x-5)2 = 49
x = 12,-2
Find the average rate of change from 6 to 7
if f(x) = 2x-3
( f(7) - f(6))/(7-6)=(11-9)/1= 2
p(x) = x2-3 t(x) = 4x+1 find t(p(x))
t(p(x))= 4x2-11
f(x) = 3(x-1)2 +1 Describe how this is different
from f(x) = x2
it moves one right and one up and is skinnier
horizontal compression
Simplify: ( -3x2)2 (5y-1)
(45x4)/(y1)
solve for x:
x2 - 5x = 50
x= 10,-5
find discriminant of f(x) = x2 +2x +2
and tell number of real solutions
no real solutions
Are f(x) = 3x-1 and g(x) = (x+1)/3
inverses?
yes
Find the difference quotient of f(x) = 3x2-1
6x+3h
Factor 6x^2 + 5x -6
(3x-2)(2x +3)
find solution set
-2( x -9) + 2 = 12 + 6x
{1}
Find the vertex and range of
f(x) = -x2 +6x - 8 and Max or min and what is it?
vertex = (3,1) max = 1
H(x) = g(f(x)) find g and f if H(x) = abs(x2-4)
f(x) = x2-4 ; g(x) = abs(x)
Space-x is shot with initial velocity of 640 ft per minute. The distance in feet from ground is d(t) = -40t2+640t
in how many minutes does it reach max height?
8 minutes
(-64)1/3
-4
Solve inequality
-12 < 2x-4 < 6
{ x/ -4<x<5} or (-4,5)
Vertex of f(x) = -2( x-12)3+15
max or min and what is it
(12,15) max=15
Find the inverse of f(x) = x2+ 6 domain x >or = 0
f-1(x)= sq root (x-6) domain x> 6
A manufacturer of stoves has found that when unit price is p dollars, the revenue, R, in dollars is
R(p) =-6p2+6000p find unit price that maximizes R
$500
bonus what is max Revenue?