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The Algebra Buster


May 25th









May 25th

Math112 Practice Test #2

De termine which two functions are inverses of each other.

Find the inverse of the one-to- one function .

Does the graph represent a function that has an inverse
function?

Use the graph of f to draw the graph of its inverse
function.

Graph f as a solid line and f -1 as a dashed line in the
same rectangular coordinate space . Use interval notation
to give the domain and range of f and f -1.

Write the standard form of the equation of the circle with
the given
center and radius.

Find the center and the radius of the circle.

Graph the equation and state its domain and range. Use
interval notation

Complete the square and write the equation in standard
form. Then give the center and radius of the circle.

Divide and ex press the result in standard form.

Find the coordinates of the vertex for the parabola defined
by the given quadratic function .

Find the axis of symmetry of the parabola defined by the
given quadratic function.

Find the range of the quadratic function.

Find the x-intercepts (if any) for the graph of the
quadratic function.

Find the y- intercept for the graph of the quadratic
function.

Use the vertex and intercepts to sketch the graph of the
quadratic function.

Determine whether the function is a polynomial function .

Find the degree of the polynomial function.


Determine whether the graph shown is the graph of a
polynomial function.


Find the x-intercepts of the polynomial function. State
whether the graph crosses the x-axis, or touches the x-axis
and turns around, at each intercept.

Use the Leading Coefficient Test to draw a
sketch of the end behavior of the polynomial
function.

Find the zeros of the polynomial function.

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