A football throw can be measured by the function: y = -(x2 + x -12) where x represents seconds after thrown, and y represents the height of the football. How long does it take the football to reach the ground again???
about 3 second
Is the following growth or decay: f(x) = 7 (0.94)x
decay
What is the domain of linear, quadratic and exponential functions?
ALL REAL NUMBERS!
given: f(x) = x2 - 5 find (-6)
f(-6)=31
Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?
√41 or 6.4
A bungee jumper decides to try a jump off of a new bridge. His jump can be measured by the function: y = 2x2 -8x -12. Here, x represents time in seconds, and y represents his height in feet. When will the bungee jumper reach the lowest point in his journey?
2 seconds
The population in the town of Deersburgh is presently 42,500. The town has been growing at a steady rate of 2.7%. What will the population of the town be in 5 years?
48,556 people
Find the 32 terms
-2,-5,-8,-11
a32= -95
Which function has the greater rate of change on the interval [-2,3]
f(x) =2x+15 or g(x)= (0.5)5x
g(x) has the higher rate of change
ANSWER BOTH QUESTIONS
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height? *HINT*: use the function s(t) = -16t2 + 64t +80
Maximum height of 144 feet at 2 seconds
y = 9.8(.76)x
What is the rate?
What is the factor?
24% is the rate
.76 is the factor
Rational or irrational
The product of √15 and √4
Irrational
What transformations happened to the function
-f(x+3)-5
reflect across the x-axis
left 3
down 5
Amy, and Ella are playing jump rope. Amy is standing at (5,6) and Ella is standing at (2,5). What is the distance between them?
√10 or 3.16
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground?
6 seconds
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.
y=2500(0.985)x
Special character for an exponential function is
Asymptote
What type of function could have a range as (-∞, 6]
Quadratic
To get from his home to his girlfriend's home, Jimmy must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Jimmy's home and his girlfriend's home?
√20 or 4.47
Abigail tosses a coin off a bridge into the stream below. The distance the coin is above water (in feet) is represented by the equation y = -16x2 +96 x + 112, where x represents time in seconds. What is the highest point the coin will reach above the water?
256 feet
Use y = 250(1.2)x
What is the initial value?
What is the growth factor?
What is the growth rate?
initial value is 2500
growth factor is 1.2
growth rate is 20%
What function has this end behavior
As x approaches -∞ f(x) approaches -∞
As x approaches -∞ f(x) approaches ∞
Linear
The vertex of the original function is ( 5,-3)
What is the new vertex if the graph is shifted left 2 units and up 5 units?
The new vertex is (3,2)