Review Topics:
Midterm will cover 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.1 & 2.2
Things to know…
 How to calculate distance
 How to calculate midpoint
 How to calculate average rate of change
 How to complete the square
 Functions:
o Recognize if a graph (equation, table, picture, …) represents
a function
o Be able to find the (implied) domain and range of a function
from a graph or equation
o Identify whether a function is even, odd or neither from a
graph or equation
o Be able to simplify a difference quotient
o Be able to find the sum, difference, product, quotient, or
composition of functions
o Undo the composition functions [ex. Given h(x); identify
nontrivial f and g so that h(x)=f(g(x))]
o Find the inverse of a function algebraically
o Find the x-intercept(s) of a function
o Find the y-intercept find a function
o Linear Functions
 Slope Formula
 Slope-Intercept form
 Point-Slope form
 Identify the x-intercept and y-intercept
 Sketch a graph
 Write the equation of a line (given: a point and slope, 2
points, a point and parallel line, or a point and
perpendicular line)
o Quadratic Functions
 Standard Form
 Vertex Form
 Identify x-intercept(s), y-intercept,
minimum/maximum, axis of symmetry
 Sketch graph
 Write the equation of a parabola (given: the vertex and
another point or the x-intercepts)
o Higher Degree Polynomials
 End behavior (Leading Coefficient Test)
 Repeat Zeros and Multiplicity of Zeros
 Sketch graph

Graphing:
o Know the standard equation of a circle and how to use “this
formula” to write the equation of a circle in standard form
given information about the circle
o Know the 9 parent functions (constant, identity, absolute
value, reciprocal, quadratic, cubic, square root, cube root,
and greatest integer functions)
o Be able to identify & describe transformations (vertical &
horizontal shifts, vertical & horizontal reflections, and
vertical & horizontal stretch/shrink) from an equation or
graph of a function
o Be able to sketch the graph of a function (that is related to
the 9 parent functions) this includes piecewise functions
o Write the equation of a function given the graph
o Identify intervals when a function is increasing, decreasing,
or constant from a graph of a function
o Find the x-intercept(s) and y-intercept(s) from a graph or
equation
o Identify symmetries (x-axis, y-axis, origin, or none) from a
graph or equation
Some Practice Problems…
p. 117-121 #3, 5, 25-28, 29, 31, 33, 39, 43, 47-49, 51, 56-58, 61, 63,
67-77, 79, 85-88, 97, 99-103, 117-135odd, 147, 149, 150, 151
p. 123 #1-9odd, 10, 11, 13a&d, 15-18, 20
p. 208-209 #1-13odd, 17, 19, 21, 29-32, 33-37, 40