You simplify the equation and you use a x y chart and once you get all the points from simplifying the equation you graph those points on the graph chart then connect them
In this question, we have a graph given. And using that graph we have to find the value of f(1) .
f(1) means the y value when x=1 .
So we need to check the value of y at x=1 .
And if we follow the graph, we will see that at x=1, y=2.5 . So the value of f(1)=2.5 and that's the required answer .
Have a look at the attached image.
For a one-to-one function, f(x) = f(y).
So, lets find f(x) and f(y).
We know,
f(x) = (x - 2)³ + 8
Now,
f(y) = (y - 2)³ + 8
Now, we said earlier, for a function to be one-to-one, f(x) = f(y).
Therefore,
f(x) = f(y)
(x - 2)³ + 8 = (y - 2)³ + 8
(x - 2)³ = (y - 2)³
x - 2 = y - 2
x = y
Since we got x = y, we know for every x, there is one and only one y. Therefore, the function is one-to-one function.
Answer:
3
Step-by-step explanation:
To find the average rate of change
f(0) - f(-2)
-----------------
0 - -2
Taking the values for f(0) = 6 and f(-2) =0
6 - 0
---------
0+2
6/2
3
