SOLUTION: construct a table of at least 4 ordered pairs of points on the graph of the function and use the ordered pairs from the table to sketch the graph of the function. f(x)=x^2+7

Algebra ->  Graphs -> SOLUTION: construct a table of at least 4 ordered pairs of points on the graph of the function and use the ordered pairs from the table to sketch the graph of the function. f(x)=x^2+7       Log On


   

Question 1044571: construct a table of at least 4 ordered pairs of points on the graph of the function and use the ordered pairs from the table to sketch the graph of the function.

f(x)=x^2+7
f(x)+ square root x+3
f(x) - square root 6-x




Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Construct a two-column table:
   x  | f(x)
--------------
      |
      |
      |
      |

Pick any value you like for ; let's use 1 to start with. Then evaluate



Now that you know that when , . So fill in the first row of the table.
   x  | f(x)
--------------
   1  |  8
      |
      |
      |

Do the same thing with 3 other different values for

Once you have created 4 rows for your table, use the numbers in each row to create an ordered pair. Your first ordered pair is , and the others depend on the numbers you select for the other three values of

Once you have created all 4 of your ordered pairs, plot them on a graph and draw a smooth curve through them. Hint: if you want an accurate picture of the curve for this function, choose 0 and some negative number for two of your values.

John

My calculator said it, I believe it, that settles it