Practice Midterm Exam #2

You can download the practice exam here.

Midterm #2 Topics

Here are the topics for Midterm #2:

-Average velocity on an interval
-How to find the equation of a tangent line using a chart of values
-Finding limits (two-sided, left and right limits) by plugging in numbers or looking at a graph
-Finding limits using the limit laws
-Determining when a limit exists
-Vertical asymptotes and how they relate to limits
-Knowing when you can find the limit of f(x) as x -> a by plugging a into f(x)
-Determining where a function is continuous and where it is discontinuous
-Examples of continuous functions

-limits as x approaches infinity/-infinity
-the limit definition of a derivative
-finding the equation of a tangent line using limits
-computing derivatives of functions
-using derivatives to find rates of change and instantaneous velocity
-sketching the graph of f '(x)
-finding f ''(x) (second derivative)

-Intermediate Value Theorem

-Derivative rules (product rule, quotient rule, constant multiple rule, sum rule, difference rule, power rule, derivative of f(x) = x, derivative of a constant function)

-Derivative of e^x

-Derivatives of trig functions

Note: We will hold a review session during X-hour on Tuesday. There will NOT be a quiz on Tuesday. 

Math 1 Practice Exam

Click here to download the Math 1 Practice Midterm.

We will post answers on Sunday.

Topics For Midterm 1

Here are the topics for the first midterm:

-definition of a slope and 2 equations for a line (point-slope form, slope-intercept form)

-simplifying expressions (#1-16 from algebra review packet)

-adding/multiplying fractions (#17-26 from algebra review packet)

-radicals (#77-82 from algebra review packet)

-exponents (#83-100 from algebra review packet)

-Functions: Know the graphs and equations for linear, quadratic, cubic, power functions (including a = -1, a = 1/2 and a = 1/3), piecewise functions, trig functions (sin(x), cos(x), tan(x)), exponential functions, log functions (including ln(x)). 
-Domain and Range Problems (ex. find the domain and range of f(x) = x^2)
-Composition of Functions
-Transformations of Functions 
-Definitions of even/odd functions and being able to show that simple functions are even/odd
-Inverse functions: Know when a function has an inverse; Be able to find the inverse of a given function; Be able to graph a function and its inverse; Be able to identify the domain and range of a function and its inverse.

-Know log rules (including ln) and be able to use them to simplify an expression and solve equations of the form e^(3x+1) = 7. 

-Be able to simplify expressions of the form [f(x+h) - f(x)]/h (as on the written homework assignments).

NOTE: We will hold an exam review during Tuesday's X-hour. There will NOT be a quiz on Tuesday.