Exponential dreams
The horizontal asymptotes of f(x)=3x-4 +1 and g(x) = 3x-6 -5 are related this way.
What is g(x) has a lower horizontnal asymptote by 6 units?
The log equation that is equivalent to (5)3=125
What is log5125=3
The height while on a roller coaster and the time you have been riding it is inversely related, directly related, or neither
What is neither
What English words describe the math for the series 3+5+7+9?
What is sum of the sequence 3+2(n-1) for n=1 to 4
The name given to the relationship between the adjacent leg divided by the hypotenuse of an angle in a right triangle.
What is cosine.
The domain of all exponential functions is this.
What is all real numbers?
f(x)=log2x, what is f(64)? (no calculators!)
What is 6 ?
The asymptotes of the function f(x)=2/(x+1) are these.
What is the vertical asymptote is x=-1 and the horizontal asymptote is y=0
The explicit equation for the sequence 3, 8, 13, 18,...
What is
an=3+5(n-1)
The equation to find the measure of an angle when the hypotenuse is 5 cm and the measure of the leg opposite the angle is 3 cm.
What is sin x=3/5
The area of a coastal State Park on Lake Michigan started at 500 acres. Due to erosion, the property decreased by 5% each year. The equation that models this is _____. and time to get below 300 acres is _____
What is y=500(0.95)x and 5 years.
v(t) = 20log5 (t + 1)- 3 are these transformations of
f(t) = log5(t).
What is shifted left 1; down 3; and vertically stretched by factor of 20?
The zero(s) of the function f(x)=[(x-3)(x+2)]/[(x-3)(x+1)]
What is x=-2.
The recursive equation for the sequence 3, 8, 13, 18,...
What is a1=3 and an=an-1+5
or What is next = now +5 starting with 3
The measure of the hypotenuse of a right triangle with leg lengths of 3 meters and 4 meters.
What is 5 meters.
The left end behavior of f(x)=ex
What is "as x goes to the left, f(x) (or y) goes to 0."
What is 18?
The sum of 4/(x-2) and 3/(x+2) (no TiNspire CAS on this one!)
What is (7x+2)/(x2-4)
The now-next rule for an initial count of 8 bacteria that double every day.
What is next =now *2 starting at 8
The angle of elevation from the deck of a research ship to the top of an iceberg is 7.1˚ The distance to the iceberg is 4 miles. Assuming the height of the research ship is negligible, the visible height of the iceberg is this.
What is .5 miles high?
The process to find a regression equation on the TiNspire CAS
What is enter the data in a list;
use menu to look at the graph;
use menu to do the regression that matches the pattern on the graph.
A=Pe-0.1155t. (t is given in hours)
If the initial amount is 5 grams , how much will remain after 8 hours?
What is 1.985 grams
The solution of (x2-9)/(x2+6x+9)=4
What is x= -5
The explicit equation for the sequence 2, 4, 8, 16, 32, ...
What is an=2(2)(n-1)
As a plane approaches the Detroit Airport for landing, the angle of depression from the plane to the runway is 3˚. If the plane is flying at a height 1500 ft before beginning the approach, the distance along the ground from the runway to a point directly below the plane when it begins its descent is this. Double points if your answer is in miles.
What is 28622 feet?
Double Points:what is 5.42 miles?