Key Features of Functions
What characteristic indicates a function is even when looking at its graph?
The graph is symmetric about the y-axis.
What does it mean to translate a graph horizontally?
Shifting the graph left or right without changing its shape.
What is the recursive formula for an arithmetic sequence?
an=an-1+d
How do we tell how many solutions an equation has when we graph two or more equations?
Where the graphs intersect
In what form do we use to rewrite matrices?
Reduced row echelon form
Identify one key feature of a quadratic function's graph.
The Vertex.... etc
How does adding a constant to a function's output, f(x), affect its graph?
It translates the graph vertically upward.
What is the 10th term in the following sequence?
5, 8, 11....
32
Given the equation:
x2-4=-3x+5
Explain what you would do to find the solutions.
Graph each side of the equation in y1 and y2. Find the intersection points, and go to Calc then intersection. You then set the curves and click enter.
Give me an example of a matrix in reduced row echelon form.
Each leading entry is 1, and it is the only non-zero entry in its column with a value in the very last column.
Given the function f(x)=x2-4, what is the y-intercept?
y-int is -4
What effect does the function f(x)= -x2+2 have on the graph of f(x)=x2?
It reflects the graph over the x-axis and translates it up 2 units.
Write the explicit formula for the arithmetic sequence where the first term is 4 and the common difference is 3.
an=4+3(n-1)
How can you use a matrix to represent a system of equations?
By writing the coefficients of the variables as entries in the matrix.