Question

What function should be graphed in order to solve the equation ?(1 point)
Responses

f(x)=9x+2
f of x is equal to 9 x plus 2

f(x)=17x−6
f of x is equal to 17 x minus 6

f(x)=x−6
f of x is equal to x minus 6

f(x)=9x−14

Answer 1

To solve the equation \( f(x) = 0 \), you need to determine which function will cross the x-axis (where \( f(x) = 0 \)) at a certain point. Each provided function needs to be examined:

1. \( f(x) = 9x + 2 \): This will cross the x-axis when \( 9x + 2 = 0 \) or \( x = -\frac{2}{9} \).

2. \( f(x) = 17x - 6 \): This will cross the x-axis when \( 17x - 6 = 0 \) or \( x = \frac{6}{17} \).

3. \( f(x) = x - 6 \): This will cross the x-axis when \( x - 6 = 0 \) or \( x = 6 \).

4. \( f(x) = 9x - 14 \): This will cross the x-axis when \( 9x - 14 = 0 \) or \( x = \frac{14}{9} \).

You should graph the function that is relevant to the specific context or number you are trying to solve for. If your goal is just to determine a function that will give you a solution (i.e., where \( f(x) = 0 \)), any of the functions will do as they all represent linear equations that intersect the x-axis at some point.

Please specify the equation or context you want to solve if you need a more targeted answer.