Sample Response: The absolute value of a real number is the distance from 0 on the number line. The absolute value of a complex number is the distance from the origin in the complex plane. Both are distances, and therefore both are positive values. You need to use the distance formula or the Pythagorean theorem to calculate the absolute value of a complex number. Compare your response to the sample response. Which of these did your response include? Check all of the boxes that apply.

The real number is on the number line, but the complex number is in the complex plane.

Both are distances.

Both are positive values.

The distance formula or the Pythagorean theorem is used to calculate the absolute value of a complex number.

What are the relative frequencies, to the nearest hundredth, of the rows of the two-way table? group 1: a 15 b 45 group 2: a 20 b 25

Find the domain of the following expression: 1/(√x)-2

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function. how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions