Question

I’ve been stuck on this question trying to find the missing values but it seems like I need an explanation so I can understand. Please help!

Answer 1

`\begin{gathered} a)\text{ 2} \\ b)\text{ -5} \\ c)\text{ -5} \\ d)\text{ 2} \end{gathered}`

Step-by-step explanation:

Here, we want to find the value of the function at the points given

Looking at the plot, we have two distinct points

The x-intercept is (-5,0) while the y-intercept is (0,2)

Now, let us answer the questions

a) f(0)

This simply means the f(x) value i.e the y-value when x is zero

This is the y-intercept and we have the y-value as 2

b) f() = 0

Here, we want to get the x value that made y = 0

Looking at the plot, when x = -5, y= 0

Thus, we have our answer here as -5

f(-5) = 0

c) This here is an inverse operation

For an inverse operation, we switch the x and the y values

The values become (0,-5) and (2,0)

Thus, we have f inverse of 0 as -5

d) Here, we simply want to get the x-value that made the inverse equal zero

The x-value here is 2