Comprehensive Math 121 Final Exam Review: Graphs, Functions, and Polynomial Behavior Questions fully solved & verified for accuracy(A+graded)
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28 Terms
What is the final exam schedule for Math 121-001?
Tuesday, December 9 at 8 AM.
What will happen to the final exam grade if it is better than the lowest test grade?
It will replace the lowest test grade.
How many questions are on the final exam?
42 questions, with 2 extra credits.
What is the maximum time allowed for the final exam?
2 hours.
What should students bring to class for the final review?
Their computer.
What is the effect of a vertical stretch on the graph of y = f(x)?
The graph is stretched vertically if a > 1.
What is the effect of a vertical shrink on the graph of y = f(x)?
The graph is shrunk vertically if 0 < a < 1.
How does the graph of y = f(x) + k change?
It is translated k units up.
How does the graph of y = f(x) - k change?
It is translated k units down.
What does the graph of y = f(x + h) represent?
It is translated h units to the left.
What does the graph of y = f(x - h) represent?
It is translated h units to the right.
What does the graph of y = -f(x) represent?
It is reflected across the x-axis.
What does the graph of y = f(-x) represent?
It is reflected across the y-axis.
What is the vertex of the function given in the notes?
(1, -3)
What is the y-intercept of the function with the point (0, 16)?
16.
What does a zero of multiplicity 1 indicate about the graph?
The graph crosses the x-axis at (c, 0).
What does a zero of even multiplicity indicate about the graph?
The graph is tangent to the x-axis at (c, 0) and bounces.
What does a zero of odd multiplicity greater than 1 indicate?
The graph crosses and is tangent to the x-axis at (c, 0) and wiggles.
What is the behavior of a polynomial function of odd degree?
The arrows at the ends of the graph point in opposite directions.
What is the behavior of a polynomial function of even degree?
The arrows at both ends of the graph point in the same direction.
What is the definition of an even function?
A function f is even if f(-x) = f(x) for all x in the domain.
What is the definition of an odd function?
A function f is odd if f(-x) = -f(x) for all x in the domain.
What is the first step in solving a quadratic inequality?
Find the values of x that satisfy the corresponding quadratic equation.
What does the term 'multiplicity' refer to in polynomial functions?
The exponent on the corresponding factor that determines the behavior of the graph at a zero.
What is the significance of the stretch factor 'a' in a polynomial function?
It affects the vertical stretch or shrink of the graph.
What is the method to find the inverse of a function?
Solve for x in terms of y and then swap x and y.
What is the condition for a horizontal asymptote?
It is y = 0 if the degree of the numerator is less than the degree of the denominator.
What indicates that there is no oblique asymptote?
The degree of the numerator must be exactly one more than the degree of the denominator.