Question

PLS HELP!!!
Which of the following is true for the relation f(x) = x2 + 8?

Only the inverse is a function.

Neither the equation nor its inverse is a function.

Both the equation and its inverse are functions.

Only the equation is a function.

Answer 1

@Vocaloid

Answer 2

is the 2 supposed to be an exponent?

anyways, just sketch the graph and see if it passes the horizontal and vertical line tests

Answer 3

yes the 2 is an exponent
what are the horizontal and vertical line tests?

Answer 4

graph the function

1. vertical line test: if you can draw a vertical line anywhere so that it crosses the function more than once, the original relation is not a function
2. horizontal line test: if you can draw a horizontal line anywhere so that it crosses the function more than once, the inverse is not a function

Answer 5

well it's x^2 + 8 not just x^2 but it doesn't really matter in this case

so taking a look at your function, can you draw any sort of vertical line that would cross the function more than once?

Answer 6

@kittybasil thanks

Answer 7

@Vocaloid I don't think so, not a straight line

Answer 8

❓❔

Answer 9

good so the original relation is a function

what about a horizontal line?

Answer 10

we can draw a horizontal line though, right?

Answer 11

yes

so the inverse is not a function

therefore "Only the equation is a function." ---> your sol'n

Answer 12

Here's your function, sorry about that