Question

I need a answer quick please the description is in the image

Answer 1

The left end approaches infinity, and the right end approaches 0.

The image contains a question about the end behavior of a given function:

`\[ f(x) = 10(0.75)^x \]`

This is an exponential decay function because the base of the exponent, 0.75, is between 0 and 1. Here's how to determine the end behavior:

- As
`\( x \to \infty \)` (to the right),
`\( (0.75)^x \)` approaches 0, because any number less than 1 raised to an increasingly large exponent will get closer and closer to 0. So, the right end of the graph of
`\( f(x) \)` will approach 0.

- As
`\( x \to -\infty \)` (to the left),
`\( (0.75)^x \)` grows without bound because raising a number between 0 and 1 to a negative exponent results in a fraction with a numerator of 1 and a very small denominator, which becomes a very large number. Therefore, the left end of the graph will approach infinity.

So, the complete statement would be:

The left end approaches infinity, and the right end approaches 0.

Answer 2

there is no image i’m so sorry