Exponential Growth/Decay
Is the following equation growth or decay?
y=5(3)x
Growth
Simplify the following expression.
3x(x-5)
3x2-15x
Simplify the expression given below.
(2x2-6x+9)+(x2+8x-5)
3x2+2x+4
Find the x-intercepts of the equation below.
y=x2-9x-22
x=11 and x=-2
Find the vertex for the following quadratic.
y=2x2-8x+2
(2,-6)
Is the following function growth or decay?
y=200(1/2)x
Decay
(x+4)(x-3)
x2+x-12
Simplify the expression given below.
(5x2+8x+10)-(3x2-9x-12)
2x2+17x+22
Find the zeros of the function given below.
h(x)=3x2+14x-5
x=1/3 and x=-5
Find the axis of symmetry for the quadratic function given below.
g(x)=x2+10x-6
x=-5
What is the growth rate for the following function?
y=500(1.75)x
0.75 or 75%
Simplify the following expression.
(2x+4)2
4x2+16x+16
(-3x2+5x-9)-(-3x2-5x+9)
10x-18
Find the roots of the function given below.
g(x)=x2-7x
x=0 and x=7
Find the maximum of the function given below.
y=-3x2+x-2
What is the decay rate for the following function?
y=1000(0.87)x
13% or 0.13
Simplify the following expression.
(3x-1)(x2-5x-6)
3x3-16x2-13x+6
(4x4-3x3+2x)+(8x2-8)
4x4-3x3+8x2+2x-8
Find the solutions for the equation given below.
3x2+7x+9=0
No Solution
Where does the minimum value occur for the function given below.
h(x)=x2-8x-20
At x=4
What transformations are present in the following function when compared to the parent function?
g(x)=-3(4)x-5+6
Reflection over the x-axis
Horizontal Translation right 5
Vertical Translation up 6
Vertical Stretch by a factor of 3
(x-1)3
x3-3x2+3x-1
Simplify the expression below.
(2x+1)2+5x2-7x+9
9x2-3x+10
Solve the equation given below.
-3x2+6x=5x-8
x=-1.475 and x=1.808
A rock is dropped from a building that is 300 feet tall, the equation y=-16x2+300 gives the height of the rock as it falls, where y is the height of the rock and x is the time. When does the rock hit the ground?
The rock hits the ground at 4.33 seconds.