Question

F ( x ) = 2 x − 4 Several values of the function

g(x) for different values of x are listed in the
table. Image_29093 Which statements
regarding these two functions are correct?
Select ALL that apply. The sum of the slopes
of f(x) and g(x) is 0. The sum of the slopes of f
( x ) and g ( x ) is 0. The slope of f(x) is
greater than the slope of g(x). The slope of f (
x ) is greater than the slope of g ( x ). The
sum of the y-intercepts of f(x) and g(x) is 0.
The sum of the y -intercepts of f ( x ) and g ( x
) is 0. The absolute values of the slopes of f(x)
and g(x) are equal. The absolute values of the
slopes of f ( x ) and g ( x ) are equal.

Answer 1

The provided example shows a different function, g(x), with a slope of 3 and a y-intercept of 9. Comparing it with f(x) = 2x - 4, none of the statements about the sum of the slopes or y-intercepts being zero, or the slopes or their absolute values being equal, are correct.

Step-by-step explanation:

To determine the accuracy of the statements regarding the functions f(x) and g(x), we need to consider the given equations and the table of values for the function g(x). The function f(x) = 2x - 4 is a linear equation with a slope of 2 and a y-intercept of -4. Since we do not have the specific table for g(x), we will rely on the provided example of Figure A1 which describes a line with a slope of 3 and y-intercept of 9.

Based on Figure A1, we can make the following assessments: The sum of the slopes of f(x) and g(x) is not 0 since the slope of f(x) is 2 and the slope of g(x) (from the example) is 3, giving a sum of 5. The slope of f(x) is less than the slope of g(x) in the example since 2 is less than 3. The sum of the y-intercepts of f(x) and g(x) is not 0 because the y-intercept of f(x) is -4 and the y-intercept of g(x) (from the example) is 9, giving a sum of 5. The absolute values of the slopes are not equal, 2 for f(x) and 3 for g(x), as per the example.