Hey there! I'm happy to help!
A function is like a machine that your put a number into and it gives you a new number once it's gone through it.
If you say f(1), this means you are putting the number 1 into this function machine, which we called f. It can also be called other letters such as g, as it is in this problem.
When looking at a function on a graph, the number we put in (our input) is on the x-axis, and our output (result or new number) is on the y-axis.
The blue line represents all of the outputs. Let's look at g(7). What value is the blue line at when x is at seven? Well, if you go to the 7 on the x-axis and go up, you bump into the blue line at the y-value of 4. This means that when you insert 7 into the function, your output will be 4, giving us g(7)=4. Pretty cool, right?
Now, for g(0). If we go to the center of the graph (this is called the origin, it is at 0 on both the x and y axes) and look up, we see that the function is at y-value 7 at the x-value of 0. This means that if we put 0 into our function, our result would be 7, so g(0)=7.
The same goes for g(-5). You go the -5 on the x-axis, look up, and the function is at y-value 6, so g(-5)=6.
For the final one, we do it backwards. We need to see what number we put in to give us 3. Well, let's look at the y-value of 3. We see that the function touches this value on the far right side, at x-value 9, which means we plug in a 9 to get 3 as our output.
So, here are your answers.
g(7)=4
g(0)=7
g(-5)=6
g(x)=3 when x=9.
Now you can interpret inputs and outputs of a function from a graph! Have a wonderful day! :D
