A. explain what makes this set of data a function b. what could cause this set of data to not be a function? give specific example to support your statement and explain well. c. write an equation, in function notation, that will fit the inputs and outputs in the table, show your work that proves your equation true for the given data.

(a) the fact there a set of input values is mapped to a set of output values without assigning multiple output values to one input makes this table (and a set of data) a function

(b) a case of two assignments of same input value to two different output values could cause this table to not be a valid function. Example: add a row in the table as follows:

Input: 3      Output: 11

which means a 3 would be mapped to both 5 and 11

(c) the function could be like this:

f(k) = 2k - 1

Test that it works for the values in the table:

f(3) = 2*3-1 = 5

f(4) = 2*4-1 = 7

f(6) = 2*6 -1 = 11

I let you do the last one!

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step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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