Simplifying
14x+5x
19x
Factor x2+4x-32
(x-4)(x+8)
The population of HomeTown is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%
What is the exponential equation?
y=35000(1+.024)x
What is the graph of y=x2 called? (shape)
A parabola
2x3+7x2-6x-8 divided by x+4
2x2-x-2
3x+2y-2x-6
x+2y-6
Factor x2+9x+8
(x+1)(x+8)
An investment of $5000 doubles in value every decade. The function f(x)=5000*2x where x is the number of decades models the growth of value in the investment. How much is the investment worth after 30 years?
$40,000
What is a vertical line that divides a parabola into two symmetric halves called?
The axis of symmetry
3x3-5x2+4x+2 divided by 3x+1
3x2-6x+6
-7ab + 6b + 3a - 4b - 3ab
2b+3a-10ab
Factor 4x2 + 12x + 5
(2x+5)(2x+1)
Suppose 30 flour beetles are left in a warehouse bin. The beetle population doubles each week. What is the exponential function to represent the growth of the beetle population?
f(x)=30*2x
Find the vertex of y=-x2-2x
(-1,1)
2x3-5x-7 divided by x-2
2x2+4x+3 with remainder -1
2(x+4)+3(x-5)-2y
5x-2y-7
Factor 6x2 - 19x - 7
(2x - 7)(3x + 1)
A population of 75 bunnies quadruples in size every 15 years. The function y=75*4x represents the population growth of bunnies with x being the number of 15-year periods. How many bunnies will be there after 45 years?
4,800 bunnies
What is the range for the graph y=6(x-5)2-1?
y is greater than OR equal to -1
5x3-3x2-6 divided by x-1
5x2+2x+2 with remainder -4
4r-5s+2rs-(8s+3r)
r-13s+2rs
Factor 6x2 - 16x + 10
*Hint* Factor out a greatest common factor first!
2(x - 1)(3x - 5)
What is the asymptote for all exponential functions?
y=0 or the x-axis
Find the zeros of the graph y=x2+8x+15
x=-3 and x=-5
x3+5 divided by x+2
x2-2x+4 with a remainder -3