Pieces
Take it to the Max
Make your Choice
Three Wise Equations
100
8.1 - For the following function, determine what direction it opens towards.
f(x)=2x^2+24x+74
Opens upward
100
8.1 - Determine if the following function as a maximum or minimum and it's value.
g(x)=-4x^2+16x+12
Maximum at 28
100
Review #1-3 - Which of the following have a minimum:
f(x)=1/2x^2
g(x)=-4x^2
h(x)=6x^2+5
j(x)=-1/2x^2
f(x)=1/2x^2
h(x)=6x^2+5
100
8.5 - Determine if the following is linear, exponential, or quadratic.
Quadratic
200
8.1 - For the following function, determine if it is wider or narrower than the parent function.
f(x)=2x^2+24x+74
Narrower
200
8.1 - Determine if the following function as a maximum or minimum and it's value.
g(x)=2x^2+4x-5
Minimum at -7
200
Review #1-3 - Which of the following are narrower than the parent function:
f(x)=1/2x^2
g(x)=-4x^2
h(x)=6x^2+5
j(x)=-1/2x^2
g(x)=-4x^2
h(x)=6x^2+5
200
8.5 - Determine if the following is linear, exponential, or quadratic.
Linear
300
8.1 - For the following function, determine the vertex
f(x)=2x^2+24x+74
(-6,2)
300
8.1 - Determine if the following function as a maximum or minimum and it's value.
w(x)=-2/3(x+3)^2+4
Maximum at 4
300
Review #1-3 - Which of the following have a maximum:
f(x)=-2x^2-5x-3
g(x)=-4x^2+67
h(x)=-1/6x^2+4/3x+5
j(x)=-1/2x^2
f(x)=-2x^2-5x-3
g(x)=-4x^2+67
h(x)=-1/6x^2+4/3x+5
j(x)=-1/2x^2
300
8.5 - (Double Jeopardy) Determine if the following is linear, exponential, or quadratic and state the equation.
Quadratic
1000x^2+3000x+84000
400
8.2 - For the following function, determine the (1) vertex, (2) axis of symmetry, (3) open direction, (4) y - intercept, (5) wider or narrower.
-1/3(x-3)^2-5
(1) (3,-5)
(2) x=3
(3) Open Downward
(4) -8
(5) Wider
400
8.4 - The following equation represents a rocket launched into the air. Determine how high the rocket went before it began returning to the ground. (Round your answer to the nearest tenth).
m(t)=-16t^2+314t+78
Max Height: 1618.6 feet
400
Review #1-3 - Which of the following are decreasing as x>0
f(x)=1/2x^2
g(x)=-4x^2
h(x)=6x^2+5
j(x)=-1/2x^2
g(x)=-4x^2
j(x)=-1/2x^2
400
8.5 - Determine if the following is linear, exponential, or quadratic and state the equation
Exponential
0.125*4^x or 1/8*4^x
500
8.2 - For the following function, determine when the function is increasing or decreasing
-1/3(x-3)^2-5
Increasing as x<3
Decreasing as x>3
500
8.4 - (Double Jeopardy) Mr. Reichling throws a paper airplane at an initial height of 5 feet with a 32 feet/second initial velocity. Determine the maximum height and how long it took to reach the ground (forgetting all air resistance.)
Max Height: 21 feet
Time to ground: 2.146 seconds
500
Review #1-3 - Which of the following is open downward, has a maximum at 6, and is wider than the parent function
f(x)=3/2x^2+6
g(x)=-2/3x^2+5
h(x)=-7/7x^2+6
j(x)=-1/4x^2+6
j(x)=-1/4x^2+6
500
8.5 - Determine which of the following three represent an exponential function and determine it's value when x=10
3rd table
At x=10, this function will export 118098.