Question

A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, f(x) has the entries, 3, 3, 3, 3, 3, 3. A 2 column table with 7 rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2, 3. The second column, g(x) has the entries, 4, 3, 2, 1, 0, negative 1. The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x) = g(x) is true? x =

Answer 1

Answer:

-1 trust

Step-by-step explanation:

Answer 2

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

$y=mx+b$

m is the slope

b is the y-intercept

For table 1,

Get the slope:

$Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0$

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

$y=mx+b\\3 = 0(-2) + b\\b = 3$

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:

$Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1$

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

$y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2$

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

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