What is the difference between an arithmetic sequence and a geometric sequence?
Arithmetic Sequence- there is a common difference (you are either adding by a negative or positive number to get the next term)
Geometric Sequence - there is a common ratio (you are multiplying by a whole number or a fraction to get the next term)
Give an example of a quadratic equation
answers vary
Show two graphs
What is the reference angle for the following angle: theta = 205 angle?
25
What is an NPV? When do you state NPVs?
Non permissible values, values that make the denominator equal to zero.
For all rational expressions and equations
Identify the equations used for ARITHMETIC SERIES, GEOMETRIC SERIES and INFINITE GEOMETRIC SERIES
Answer on the board
If asked: solve this quadratic equation. What is the question asking you to do?
Make the equation equal to zero
Factor the quadratic equation
Make each factor equal to zero
solve for x
show answer on desmos
When can you use SINE LAW? How do you find the number of cases?
AAS - two angles one side. Can have two possible cases
SSA - two sides and an angle opposite of one side. Use the ratio of the side lengths and compare it to the sine of the angle. Or compare the angle to 90 degrees and then compare the side lengths.
How would you solve a rational expressions that are being divided?
Factor
multiply by the reciprocal
cross out any binomials that are found in the numerator and denominator
multiply and simplify
state npvs
Identify the radical and mixed radical.
A) 25
B) 3*sqrt(30/4)
C) sqrt(3)
B) Mixed
C) radical
How do you find the number of solutions a quadratic equation has?
Using the discriminant
When asked to solve for a system of equations, what are you looking for and how do you solve the system of equation?
looking for the point of intersection through elimination, and substitution and through graphing both equations.
The POI is written as a coordinate (x,y)
When can COSINE LAW be used?
When there are three side lengths given. (SSS)
or
When a side angle and side is given (SAS)
How would you graph an absolute value function?
How would you graph a reciprocal function?
graph original function the make all negative y-values positive.
create a table of values
create a table of values
graph the original function
find the vertical and horizontal asymptotes, use the values when y= -1 and 1 as points on the reciprocal graph. Plug in x values close to the asymptotes and far away from the asymptotes.