Question

Which is the function represented by the table?

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 4, 5, 6, 7.
f (x) = x + 5
f (x) = x minus 5
f (x) = x + 1
f (x) = x minus 1

Answer 1

• f(x) = x + 5

Explanation:

Table given

• x | y
• -1 | 4
• 0 | 5
• 1 | 6
• 2 | 7

We can see y-intercept is 5 from the point (0, 5)

Lets find the function by using 2 of the points

• y = mx + 5

The slope m is found as

• (0- (-5))/(5 - 4) = 1/1 = 1

So the function is

• y = x + 5
• or
• f(x) = x + 5

Correct option is the first one f(x) = x + 5

Answer 2

A

Explanation:

We are given a table with the points [ (-1, 4), (0, 5), (1, 6), (2, 7) ]

We need to find the slope with [ y2-y1/x2-x1 ]

5-4/0-(-1)

1/1

1

The point (0, 5) represents the y-intercept.

y = 1x + 5

y = x + 5

Note that f(x) = y

f(x) = x + 5

Best of Luck!