SOLUTION: Find the x and y intercepts of the following equation: y= -10|x|+10 I'm not sure how to solve this problem because of the absolute value. Thanks for your help!

Click here to see ALL problems on Graphs

Question 771100: Find the x and y intercepts of the following equation: y= -10|x|+10
I'm not sure how to solve this problem because of the absolute value.
Thanks for your help!

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The absolute value of 0 is 0, so the -coordinate of the intercept is just -10 * 0 + 10 = 10.

No matter what value you put into the absolute value function, the value of the function is non-negative. In order for to be zero, which is necessary for the -intercept, |x| has to equal 1, so that you have -10 * 1 + 10 = 0. So which two different values can you put inside of the absolute value so that the value of the absolute value function is 1? Certainly 1 works, but what is the other one?

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it