Answer:
f(x)= -2x + 1
Explanation:
The function we will find is to be written in slope-intercept form, which is y=mx+b.
One way to find the answer would be by graphing the function, wich you can do on an online calculator or a sheet of paper.
Another way to get to our answer without even having to graph is by finding the y-intercept, or the b, of the function given in the table.
We can do this by looking at the 0 value of the table. The table tells us that the y-intercept is 1.
So, we have to look at our options and see which one has +1 for the y-intercept.
The option f(x)=-2x+1 is the answer
How to check your work: input the given x values into the chosen function, in this case f(x)= -2x + 1
So for example, you could check that this answer is the function by doing
- f(-1) = -2(-1) + 1
- f(-1) = 2 + 1
- f(-1) = 3
Make sure to do this to all values.
Hope this helps!