Analyzing Functions and Equations

The video tutorial covers a comprehensive review of EOC topics, including identifying function types, evaluating functions, solving systems of equations, simplifying expressions, graphing functions, solving absolute value equations, calculating simple interest, and understanding the end behavior of functions. Key concepts such as linear, exponential, and quadratic functions are explored, along with practical applications like profit maximization and graph interpretation.

What type of function is represented by a table where the x-values increase by 1 and the f(x) values increase by a constant amount?

• Quadratic

• Linear

• Exponential

• Logarithmic

If a table shows x-values increasing by 1 and f(x) values being multiplied by a constant factor, what type of function is it?

• Linear

• Exponential

• Quadratic

• Logarithmic

When evaluating the function f(x) = -2x^2 - 3x + 1 for f(-3), what is the result?

• 9

• -8

• -9

• 8

What is the vertex of a quadratic function that has its highest point at (-1, 4)?

• (-1, 4)

• (-4, 1)

• (1, -4)

• (4, -1)

In the system of equations 2x + 5y = 14 and 2x - 5y = 2, what is the value of y?

• -2

• -1

• 2

• 1

Simplify the expression (x^-4 * y^5) / (3 * x^3) using only positive exponents.

• x^7 * y^5 / 3

• x^5 * y^5 / 3

• x * y^5 / 3

• x^4 * y^5 / 3

What is the slope of the line represented by the equation y = 3/4x - 2?

• 3/4

• -2

• 4/3

• -3/4

Which function has a greater slope: f(x) = -3x + 2 or g(x) with a slope of 2?

• g(x)

• Cannot be determined

• f(x)

• Both have the same slope

Solve the absolute value equation |4x + 2| = 2.

• x = 1 or x = -1

• x = 0 or x = -1

• x = 2 or x = -2

• x = 0 or x = 1

What is the equation of a line that passes through (-2, 4) and is perpendicular to y = 2/9x - 5?

• y = 2/9x - 4

• y = -2/9x + 4

• y = 9/2x + 5

• y = -9/2x - 5