Algebra Unit 4 Review

Front

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

Back

True

Front

Solve by completing the square: x^2 + 12x = 5

Back

X = -6 + √41 or -6 - √41

Front

Factor the polynomial: x^2 - 4x - 32

Back

(x - 8)(x + 4)

Front

What are the x-intercepts of the function?

Back

0 and 4

Front

What is the Area of the polynomial: 2x^2 - 9x - 18?

Back

2x^2 - 9x - 18 sq. in.

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

Explain the process of completing the square.

Back

To complete the square, rearrange the equation to isolate the x terms, then add and subtract the square of half the coefficient of x.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a) for the equation ax^2 + bx + c = 0.

Front

Define x-intercepts.

Back

The x-intercepts are the points where the graph of a function crosses the x-axis, meaning f(x) = 0.