The absolute value function is written f(x) = |x|. it is composed of the lines y = x and y = -x. its domain is the real numbers and its range is the set of real numbers: [0, ∞). its graph is: 1. the absolute value function is y = |x|. is it possible for the absolute value function to ever have a negative y value? here is a ’m looking for the actual definition of the absolute value in terms of distance with a detailed example to support your response. is there a way to transform an absolute value function to have negative outputs? 2. define the absolute value function, y = |x|, as a piecewise function. include complete sentences and examples to justify your answer to receive credit.

Find csc x if sin x + cot x cos x =√3 a. 9 b. 3 c. √(3)/2 d. √(3)

The transitive property of equality states that: o if a = b, then bra o if a = b, then ac = bc o if a = b and b= c, then a = if a = b and c= c, then a + b = b + c

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =