Determine whether each rule defines a function. If it does make a table of output values using integer inputs from 0 to 4. If it does not, explain. a. x produces a number that is a number whose absolute value is the input.

b. x produces a number that is 4 units away from x on the number line.

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

The trigonometric ratios sine and secant are reciprocals of each other

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=7^-x about the x-axis. (use symbolic notation and fractions where needed.) volume =