AP Pre Calc unit 2

Arithmetic sequence formula

an=ak + d(n-k)

Geometric sequence formula

an = ak (R)^n-k

Describe the function

Increasing at an increasing rate 2(3)^x

Describe the function

Decreasing at a increasing rate -3(2)^x

Describe this function

Decreasing at a decreasing rate 3(1/2)^x

Describe this function

Increasing at a decreasing rate -3(1/2)^x

Logarithmic function reasoning

The inputs over consecutive equal-length output-value intervals are proportional.

Exponential function reasoning

The outputs over consecutive equal-length input-value intervals are proportional.

What is equivalent to the function y+4³x?

64^x

Which of the following functions is an equivalent form of the function 𝑦 = 3^𝑥+3?

𝑦 = 27∙3^𝑥

Which of the following functions is an equivalent form of the function 𝑓(𝑥) = 4^𝑥−2?

1/16(4)^x

What is an example of exponential growth?

A>0 B>0

What is an example of exponential decay?

A>0 1>B>0

inverse functions are created by switching:

x and y and solve for y

If a linear model was used but there is no pattern on the residual graph, then;

The linear model was appropriate because there is not a clear patter in the graph of the residuals.

If the graph on a semi log plot appears logarithmic, what is the data?

Linear

If the semi-log graph appears linear, what is the data?

Exponential

Describe this graph:

Normal log function, increasing at a decreasing rate, concave down

Describe this graph

Reflected across x and y axis, concave up

Describe this graph:

Reflected across x axis, -log3x, concave up

Describe this graph:

Reflected across y axis, log3-x, concave down