REVIEW - CONV, INT NOT, FACTORING, COMP THE SQ

Front

What is interval notation?

Back

A way of writing subsets of the real number line using intervals. For example, (a, b) represents all numbers between a and b, not including a and b.

Front

How do you express the interval -9 < x ≤ -4 in interval notation?

Back

(-9, -4]

Front

What is the purpose of completing the square in algebra?

Back

To transform a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.

Front

What do you need to add to both sides to complete the square for the equation x^2 + bx?

Back

(b/2)^2.

Front

Factor the expression k^2 - 2k - 24 completely.

Back

(k + 4)(k - 6)

Front

What is the formula to convert feet per second to miles per hour?

Back

Multiply by (1 mi / 5280 ft) * (3600 sec / 1 hr).

Front

Convert 60 ft/s to mi/h.

Back

40.9 mi/h

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for which the function is defined.

Front

Express the domain of the function f(x) = 1/x in interval notation.

Back

(-∞, 0) U (0, ∞)

Front

What does it mean for a quadratic function to be in standard form?

Back

A quadratic function is in standard form if it is expressed as f(x) = ax^2 + bx + c.