REVIEW
Will this pass the vertical line test?
(5,6) (6,7) (3,9) (4,3) (5,6)
yes
Find h(36) for h(x) =x^1/2
6
What does the r stand for in a linear regression equation?
It represents the line of best fit and how it fits.
What does LinReg, ExpReg & QuadReg stand for?
Linear Regression, Exponential Regression & Quadratic Regression
Find the Vertex!
y = x2 − 12x + 46
(6,10)
What is f(-4) if f(x) = x2 +10x -4
-28
What is f(5) for f(x) = (3x^2) –4
71
y= 1.54 (1.04)x
Does this equation show growth or decay?
Growth
The Common Difference of 100, 131, 162, 193...
What is 31?
Find the Roots
2m2 + 2m − 12 = 0
m=2 m= -3
How is the graph transformed in the equation y=x2 to y= x2 - 5?
The vertex of the graph is moved down 5
Will this pass the vertical line test?
(-5,-10) (-4,-11) (-14, -5) (-9, -5) (-4,11)
No
The population in the town of Hamden is presently 2,500. The town has been growing at a steady rate of 2.7%. Find the number of years it will take to reach 3,500.
13 years
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........
What is a Geometric Sequence with the common ratio of 1/5?
Find the AOS
f (x) = 1/4x2 − x + 9 .
x=8
How is the graph transformed from y=x2 to
y= (x-5)2-9
The vertex of the graph is moved to the right 5 and down 9
What is the range of the relation y = 2x2 + 5x, if the domain is the set {-2, 0, 1, 2}?
-2, 0, 7, 18
The trout in reservoir is declining at an annual rate at 2.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of trout.
y= 2500 (.975) ^x
5x2 +20x +32 = 0
Complete the Square!
5(x+2)2 +12
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)t, where P is the purchase price of the baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each year?
4.5%
What are the factors of x2 -9x - 36?
-12 and +3
What is g(5) when g(x)= x2 -5x + 19?
19
Solve by completing the square
x2 +6x + 7
(x+3)2 -2
Use a LinReg equation to find the answer
The table shows the current data:
Hours- 0 6 11 13 15 (x)
Money-54 214 432 643 842
After how many days has this person earned over $1,000
After 21 days
When an apple is dropped from a tower 256 feet high, the function h(t) = −16t2 + 256 models the height of the apple, in feet, after t seconds. Determine, algebraically, the number of seconds it takes the apple to hit the ground.
4 seconds