APPC Spring25 Back to School

Classroom Expectations

100

Where can you find paper for warm ups if you do not have any?

In the front of the room, under the whiteboard

200

What are things you need to to do to be prepared to start class?

more than one answer, only need to provide one

put phone away in phone pocket, get warm up out and start it, get out homework to turn in, grab a calculator

300

What is Ms. Solomon's room number?

Room 302

400

Where can you find the daily agenda and homework posted in the classroom?

On the whiteboard in the front of the room

500

What do you do with your phones when you come into class?

Put it in your assigned phone pocket

Polynomial Functions

100

average rate of change is ________ over _________

change in y over change in x

200

even functions reflect over which axis?

y-axis

300

The average rate of change for a linear function is ___________

constant

400

Non-real zeros come in pairs (has conjugate), what are they?

Hint: they have an imaginary number, i

a+bi and a-bi

500

odd functions reflect over which axis?

x-axis

Rational Functions

100

The denominator in a rational function cannot equal ______

0

200

Rational functions have the horizontal asymptote of 0 (y=0) if the degree on top is _____

smaller

300

What information can you get from the denominator of a rational function?

(give at least one) 

vertical asymptotes, holes, domain

400

How do you determine there is a hole in the graph from a ration function equation?

when common factors from the numerator and denominator cancel out

500

What transformations are happening to the following function g(x)?

g(x)=-f(2(x+3))+1

horizontal translation (shift left 3 units)

horizontal dilation (shrink by a factor of 1/2)

vertical translation (shift up 1 unit)

vertical reflection (over the x axis)

Exponential Functions

100

What is the general form of an exponential function?

f(x)=ab^x

200

What is generic formula for an arithmetic sequence?

a_n=a_k+d(n-k)

300

What is the generic formula for a geometric sequence?

a_n=a_k(r^n-k)

400

How do you find the error value?

predicted - actual = error

500

Inverse functions reflect over the line ______ 

y=x

Logarithmic Functions

100

What is the product property of logarithms?

log(x)+log(y)=log(xy)

200

log_bc=a if and only if b^a= ______, b>_____, and b cannot equal ______

c, 0, and 1

300

What types of transformations change the domain of logarithmic functions?

Hint: it is either both horizontal transformations or vertical transformations

horizontal translations and horizontal dilations

400

Expand the following logarithm.

log((3x²)/(2y))

log(3)+2log(x)-log(2)-log(y)

500

Condense the following logarithm.

log(2)+2log(x)-log(5)

log((2x²)/5)