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Determine whether or not the function determined by the given equation is one-to-one.$$w(x)=-7 x+9$$

Yes

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 1

Inverse Functions

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Lectures

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Determine whether or not t…

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Determine whether the equa…

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Decide whether each functi…

So if we want to determine if this is a wonder one function, what we want to do is plug in to arbitrary numbers. A and B assumed the equal each other and then see if the's values of A and B have to be the same value. And if it is, then it is a 1 to 1 function. So let's go ahead and just plug into arbitrary numbers. So w a A and W B. And so on the left side, we get negative seven. A plus nine is equal to negative seven B plus nine. And now we just need to work backwards to solve for A and B So we would subtract nine from each side first. Yeah, and then that will leave us with negative 78 years ago to negative seven B. Now we can go ahead and divide each side by negative seven the negative sevens capital, and we're left with a Is it gonna be? And so now this implies that W X is one toe one, and then, if you want, you put your little proof boxes a smiley face because you were able to prove it's 1 to 1

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