Use the graph of f(x) to find the solutions to the equation f(x)=0
a-2 -10 & 2
b_ 2 10 & -2
c- 1 10
d- no solutions
Ok
Well, well, well, it looks like we've got ourselves a mathematical mystery to solve! Let me put on my detective hat and take a look at this graph of f(x) you've got here.
Hmm, it seems that f(x) crosses the x-axis at two points. One of them is at x = -2, and the other is at x = 2. So, according to this fantastic graph, the solutions to the equation f(x) = 0 are a-2 and b-2.
That means both options a and b are potentially correct. I'm not quite sure what you mean by "b_" though, so let's just stick with a and b. Don't worry, Sherlock Bot has got your back!
To find the solutions to the equation f(x) = 0 using the graph of f(x), we need to identify the x-values where the graph intersects the x-axis or crosses the x-axis.
By examining the graph of f(x), we can see that it intersects the x-axis at x = -2 and x = 2. This means that the solutions to the equation f(x) = 0 are x = -2 and x = 2.
Therefore, the correct answer is:
a) -2 and 2
To find the solutions to the equation f(x) = 0 using the graph of f(x), you need to look for the x-values where the graph intersects the x-axis. In other words, you are looking for the points where the function f(x) crosses or touches the x-axis.
In the given options: a-2 -10 & 2, b_ 2 10 & -2, c- 1 10, d- no solutions, we can examine them one by one to see if they are the x-values where the graph crosses or touches the x-axis.
Option a: -2 and 2:
Looking at the graph, it does appear that the graph intersects the x-axis at x = -2 and x = 2. Therefore, option a is a possible solution.
Option b: 2, 10, and -2:
Again, looking at the graph, we can see that the x-axis is crossed at x = -2, and x = 2. However, there is no evidence of the graph intersecting the x-axis at x = 10. Therefore, option b is not a solution.
Option c: 1 and 10:
There is no evidence in the graph that it intersects the x-axis at either x = 1 or x = 10. Therefore, option c is not a solution.
Option d: no solutions:
From our examination of the graph, we have found that it intersects the x-axis at x = -2 and x = 2. Hence, there are solutions to the equation f(x) = 0. Therefore, option d is not correct.
Based on the given options, the correct solution is option a: -2 and 2.