# College Algebra Final Review Practice Quiz

**Question 1 **(4 points)

Exponential Functions

Find f(0) for the function f(x)=2^{x}

a.-2

b.0

c.1

d.

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**Question 2 **(4 points)

Maximum and Minimum of a Quadratic Function

State whether the function has a minimum or a maximum value and find the value.

f(x)=5x^{2} -10x

maximum:-5**
**
minimum:-5

maximum:1

minimum:1

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**
Question 3** (4 points)

Solve Quadratic Equations by Taking Square Roots

Solve.

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**Question 4** (4 points)

Vertex of a Parabola

Find the vertex of the graph of the function.

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**Question 5** (4 points)

Far-Left and Far-Right Behavior

Determine the right-hand and left-hand behavior of the graph of the function.

a.
Falls to the left

Falls to the right

b.
Falls to the left

Rises to the right

c.
Rises to the left

Falls to the right

d.
Rises to the left

Rises to the right

e. None of these

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**Question 6** (4 points)

Matrix multiplication

Find the product, if possible.

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**Question 7 **(4 points)

Find an Inverse Function

Find the inverse of the function.

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**Question 8 **(4 points)

Rational Inequalities

Solve the inequality:

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**Question 9** (4 points)

Compound Interest

The formula A=8000e^{n }can be used to find the dollar value of an
investment of $8000 after t years when the

interest is compounded continuously at a rate of r percent.

a. Find the value of the investment after 8 years if the interest rate is 7%.

b. Find the value of the investment after 7 years if the interest rate is 6%.

a.

a. $11,854.15

b. $13,881.93

b.

a. $11,854.15

b. $12,175.69

c.

a. $14,005.38

b. $12,175.69

d.

a. $14,005.38

b. $13,881.93

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**Question 10** (4 points)

Addition and subtraction of matrices

Evaluate the expression.

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**Question 11** (4 points)

Linear Equations

Solve.

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**Question 12** (4 points)

Zeros of a Polynomial Function

Find all the zeros of the function.

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**Question 13** (4 points)

Determinant of a 2 x 2 matrix

Find the determinant of the matrix.

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**Question 14 **(4 points)

Find the Equation of a Line

Which shows the equation of a line, in slope-intercept

form, that passes through the point

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**Question 15** (4 points)

Solve Logarithmic Equations

Solve for x.

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**Question 16 **(4 points)

Solve Quadratic Equations by Factoring

Solve by factoring.

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**Question 17** (4 points)

Graphs of Inverse Functions

Let f(x)=4x+7 Identify the graph of f and f^{ -1}

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**Question 18** (4 points)

Solving a system of equations using Cramer's rule

Use Cramer's Rule to solve (if possible) the system of equations.

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**Question** 19 (4 points)

Systems of equations in three variables

Solve:

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**Question 20** (4 points)

Finding the inverse of a matrix

Find the inverse of the matrix A, if it exists.

d. Does not exist

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**Question 21** (4 points)

Solve Quadratic Equations by Completing the Square

Solve by completing the square.

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**Question 22** (4 points)

Scalar multiplication

Evaluate -8A

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**Question 23** (4 points)

Operations on Functions

Given andfind
(f-g)(x)

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**Question 24** (4 points)

Graphs of Logarithmic Functions

Identify the graph of the logarithmic function.

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**Question 25** (4 points)

Circles, Their Equations, and Their Graphs

Find the standard form of the equation of the specified circle.

Center:(-1,3);Radius:

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