A ball is dropped from a cliff above a lake. The height of the ball above the surface of
the lake, h(t), in feet, t seconds after the ball is dropped, is given by: h(t) = 300 − 16t2
Give this one a try later!
, a) What is the average rate of change in height h(t) between t = 1 and t = 4?
Give units with your answer.
Solution: The average rate of change is h(4) − h(1)4 − 1 = (300 − 16(42)) − (300
− 16(12))3 = −80 feet/second.
(b) Write a complete sentence that interprets your answer from part (a).
Solution: From t = 1 to t = 4 seconds the height of the ball decreases on
average by 80 feet per second.
Write a formula for a function f (x) which adds 5 to the input, squares the result, and
then multiplies this result by 2:
Give this one a try later!
f(x)=2(x+5)2
We define the standard form of a linear function to be ax+by = c. If you solve for y (the
dependent variablehere), then you obtain:
A. y = c − ax
B. y = c/b − ax/b
C. y = ax − c
D. y = c − ax/b
E. none of the above
Give this one a try later!
B. y = c/b − ax/b
Let f (x) = 3 + 4x. Then f (2 + h) =
the lake, h(t), in feet, t seconds after the ball is dropped, is given by: h(t) = 300 − 16t2
Give this one a try later!
, a) What is the average rate of change in height h(t) between t = 1 and t = 4?
Give units with your answer.
Solution: The average rate of change is h(4) − h(1)4 − 1 = (300 − 16(42)) − (300
− 16(12))3 = −80 feet/second.
(b) Write a complete sentence that interprets your answer from part (a).
Solution: From t = 1 to t = 4 seconds the height of the ball decreases on
average by 80 feet per second.
Write a formula for a function f (x) which adds 5 to the input, squares the result, and
then multiplies this result by 2:
Give this one a try later!
f(x)=2(x+5)2
We define the standard form of a linear function to be ax+by = c. If you solve for y (the
dependent variablehere), then you obtain:
A. y = c − ax
B. y = c/b − ax/b
C. y = ax − c
D. y = c − ax/b
E. none of the above
Give this one a try later!
B. y = c/b − ax/b
Let f (x) = 3 + 4x. Then f (2 + h) =
