Which of the following graphs represent functions Circle your answers. If it is a function, state the domain and range. If the graph is not included, make a table and graph the function by hand.

Step-by-step explanation:

A). y = |2x - 3| + 1

  Domain of function is defined by the x-values (Input values) and Range by the y-values(Output values).

  From the graph,

  Domain : (-∞, ∞)

  Range : [1, ∞)

B). Table of the input-output values of the function,

  y = x² - 2x + 1

  x         -2         -1           0         1          2

  y          9          4           1         0          1

 By graphing the function as attached,

 Domain of the function : (-∞, ∞)

 Range of the function : [0, ∞)

C). x² + y² = 3²

 Domain of the function : [-3, 3]

 Range of the function : [-3, 3]

D). x = 5

 Domain of the line : [5, 5]

 Range of the line : (-∞, ∞)

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: