Tonight's homework is, of course, to study! This is your first test grade of the third quarter!
The test is 25 multiple choice, all with a graphing calculator. Here's what's on it:
- Evaluate a function like f(x+2)
- Find the domain of a rational function (denominator can't = 0)
- Determine where a function is increasing, decreasing, constant
- Evaluate a composition (f(g(4)))
- Find the inverse of a (linear) function
- Find the slope-intercept form of a line parallel to a given one
- Describe shifts/reflections
- Identify the vertex of a quadratic in standard form (a(x-h)^2+k)
- Find the maximum value of a given quadratic (x = -b/2a, sub x to find y)
- Find all zeros of a polynomial
- Divide using long division
- Factor a polynomial completely given a factor
- Divide complex numbers (multiply by the conjugate of the denominator)
- Find all zeros of a function
- Find horizontal asymptotes (look at degree of numerator, denominator)
- Find vertical asymptotes (set denominator = 0)
- Evaluate an exponential function
- Find exponential form of a log equation
- Use change of base to rewrite a log
- Use properties of logs to condense an expression
- Solve an exponential equation (take log of both sides, remember?)
- Solve a log equation with same base (condense, write exponential form)
- Find the amount of time it takes an account to double if it's compounded continuously (know the equation!)
- Solve an exponential equation
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