Match the inequality and interval with the correct graph.
Match the inequality and interval with the correct graph.
This is the Semester 1 Final for IM 2.
You may use your notes, homework, and study guides. Remember to show your work on all problems that require it.
And double remember to answer every question. You will receive credit for any work you do.
Good Luck!
Find the Product of these polynomials.
Simplify this expression that contains radicals.
Simplify. Your answer should not have negative exponents.
Simplify this expression. Your answer should not have negative exponents.
Use interval notation to describe the domain and range of this function.
Domain:
Range:
For what interval of x is the function f(x):
Increasing?
Decreasing?
Negative?
Positive?
Find the Product of this binomial * trinomial using the box method.
Write an expression in simplest form to represent the perimeter of the larger rectangle.
Write an expression in simplest form to represent the area of the larger rectangle.
What is the area of the shaded region?
If x = 3 feet, how much longer is the perimeter of the larger rectangle?
Match the inequality and interval with the correct graph.
Solve this absolute Value equation:
+ Case
- Case
Identify and classify the parts of this polynomial:
Degree (first, second, third, etc.)
# of Terms (1, 2, 3, etc.):
Solve and graph this absolute value inequality:
A) What are the critical values of this absolute value function:
Opens (upward or downward)
Axis of Symmetry
Vertex
Slope
B) Use the critical values of this equation to graph it.
Describe the transformation of:
Stretch or Compression?(If a=1 or a=-1, then write none)
Opens upward or downward?
Horizontal shift? (If there is no shift write none)
Vertical shift? (If there is no shift write none)
Axis of Symmetry? (x=h)
Vertex (h,k)
What is the graph of the function?
Solve the following Quadratic function:
(3x - 27)(4x + 16) = 0
x=
x=
Solve the following Quadratic function:
x=
x=
A diver jumps from a dividing board 32 feet above the water with an initial velocity of 12 feet per second. The height h, in feet, of a the diver t seconds after she jumped can modeled by the function h(t) = -16t² + 12t + 32.
For all your answers round to two decimal places.
Find the height of the diver 1 second after he jumped off the board.
How long did it take for the diver to reach a maximum height above the water?
What is the diver's maximum height?
After how many seconds did the diver enter the water?
