# Review Topics: Things to know… ```Review Topics:
Midterm will cover 1.1, 1.2, 1.4, 1.5, 1.6, 1.7, 1.8, &amp; 1.9
Things to know…
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Calculate distance and midpoint (these formulas will be provided
on the midterm)
Calculate average rate of change
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 if 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 Identify 2 functions that are used in a simplified composition
of functions [ex. Given h(x); find f and g so that h(x)=f(g(x))]
o Be able to calculate the inverse of a function
Graphing:
o Know the 9 parent functions (constant, identity, absolute
value, reciprocal, quadratic, cubic, square root, cube root,
and greatest integer functions)
o Know the standard equation of a circle and how to use “this
formula” to write the equation of a circle in standard form
o Be able to identify &amp; describe transformations (shift,
reflection, and 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 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
o Write the equation of a function given the graph
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