Exponential Growth
The initial quantity in the function B=3⋅2t
What is the 3 in this function?
The height from the equilibrium to the maximum point of a periodic graph.
What is the amplitude?
The exponent in the power function f(x)=x3
What is 3?
The point where a graph crosses the y-axis.
What is the y-intercept?
The point (−1, −5) may or may not lie on the line y=8x−13.
Investigate if the point lies on the line.
What is no, because substituting x=−1 gives y=−21, not −5?
The 1.05 in f(x)=100⋅1.05x
What is the growth factor in f(x)=100⋅1.05x?
The horizontal line exactly between the maximum and minimum values of a periodic graph.
What is the equilibrium line?
The shape of the graph of f(x)=x8
What is a U-shaped graph?
A way to recognize if a function is periodic by looking at the graph.
What is the repetition of the pattern at regular intervals?
The number of pincodes possible if the pin code consists of four different digits.
What gives you 10x9x8x7=5040 possible codes?
The population size after 3 hours if it doubles every hour, starting at 50.
What is 400?
The amplitude and equilibrium line of a graph that varies between 2 and 8.
What are 3 and 5?
A key difference between f(x)=x2 and f(x)=x3
What is that x3 has a point of symmetry and is symmetric about the origin, while x2 has line symmetry?
The name we give to the lowest point on a curved graph like f(x)=x6?
What is the vertex?
The propability that this is you final Math lesson by mrs. Fisscher in percentages
What is a propability of 99.9%?
On January 1st 2020 the Dutch working population consisted of 10.5 million people. The working population is expected to grow annually with 0.43%.
The size of the working population on January 1st 2035 rounded to hunderds of thousands.
What is B=10.5 x 1.004315=11.2 million people?
The value that describes how often the pattern repeats along the x-axis.
What is the period?
The type of symmetry seen in the function f(x)=x4
What is symmetry about the y-axis?
This graph has one bend at the origin and increases on both sides.
What is the graph of f(x)=x3? (or another odd exponent)
The number of teachers of Mathematics at Varendonck College.
Are there 8 teachers of Mathematics?
This formula shows exponential growth: N=23t+7
Rewrite it in the form N=b⋅gt
What is N=128⋅8t?
Fokke and Sukke ride two different Ferris wheels with periods of 18 and 30 seconds.
They both start at the bottom at the same time.
Calculate after how many second they will be at the bottom at the same time for the first time.
What is 90 seconds?
LCM (18,30)=6x3x5=90
The coordinates of the point of symmetry in the graph of f(x)=(x+2)3-4
What is (-2, -4)?
The name of a graph that corresponds to an inversely proportional relationship
What is a hyperbola? (CH5, matching formulas like y=a/x)
The point A(−3, 1) lies on the graph of the function f(x)=−x2+4px+2p. The value of p that matches this situation.
What is p=1/5?
fill in x=-3 and y=1 and solve for p.