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Algebra and Trigonometry Test

MULTIPLE CHOICE . Choose the one alternative that best completes the statement or answers the question.

Use the given conditions to write an equation for the line in the indicated form.
1) Passing through (4, 2) and perpendicular to the line whose equation is y = 3x + 7;
point- slope form
2) Passing through (5, 4) and parallel to the line whose equation is y = 2x - 6;
point-slope form

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the
independent variable .

3) The linear function f(x) = -7.9x + 20 models the percentage of people, f(x), who eat at fast food
restaurants each week x years after 1998.

A) m = -7.9; the percentage of people eating at fast food restaurants each week has decreased at
a rate of -7.9% per year after 1998.

B) m = 7.9; the percentage of people eating at fast food restaurants each week has increased at a
rate of 7.9% per year after 1998.

C) m = 20; the percentage of people eating at fast food restaurants each week has increased at a
rate of -7.9% per year after 1998.

D) m = 7.9; the percentage of people eating at fast food restaurants each week has increased at a
rate of -7.9% per year after 1998.

Find the average rate of change of the function from to .

4) f(x) = -3x2- x from = 5 to = 6
Use the shape of the graph to name the function.

A) Absolute value function
B) Identity function
C) Constant function
D) Square root function


A) Standard quadratic function
B) Standard cubic function
C) Square root function
D) Constant function

A) Constant function
B) Standard cubic function
C) Identity function
D) Absolute value function

A) Standard cubic function
B) Square root function
C) Standard quadratic function
D) Constant function

Begin by graphing the standard absolute value function f(x) =l xl . Then use transformations of this graph to graph the
given function.


Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given
function.


Begin by graphing the standard function f(x) = x3 Then use transformations of this graph to graph the given function.


Begin by graphing the standard quadratic function f(x) = x2 . Then use transformations of this graph to graph the given
function.


Find the domain of the function.
 

Given functions f and g, determine the domain of f + g.

For the given functions f and g , find the indicated composition.

Find the domain of the composite function fog.

Determine 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?

A) Yes
B) No

A) Yes
B) No

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



The graph of a quadratic function is given. Determine the function's equation.

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

Find the range of the quadratic function.

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

Find the domain and range of the quadratic function whose graph is described.

34) The vertex is (1, -2) and the graph opens up.

A)
Domain: (-∞, ∞)
Range: [1, ∞)

B)
Domain: [1, ∞)
Range: [-2, ∞)

C)
Domain: (-∞, ∞)
Range: (-∞, -2]

D)
Domain: (-∞, ∞)
Range: [-2, ∞)

35) The minimum is -5 at x = -1.

A)
Domain: (-∞, ∞)
Range: (-∞, -5]

B)
Domain: [-1, ∞)
Range: [-5, ∞)

C)
Domain: (-∞, ∞)
Range: [-1, ∞)

D) Domain: (-∞, ∞)
Range: [-5, ∞)
Use the vertex and intercepts to sketch the graph of the quadratic function.



Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of
the minimum or maximum point.

A) minimum;
 maximum;
 maximum;
A) minimum;


A) maximum;
B) minimum;
C) minimum;
D) maximum;
   
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