+0  
 
+5
104
1
avatar

If f(x) is a function defined only for 0 is less than or equal to x is less than or equal to 1, and f(x) = ax+b for constants a and b where a < 0, then what is the range of f in terms of a and b? Express your answer in interval notation

Guest Mar 13, 2017
Sort: 

1+0 Answers

 #1
avatar+5565 
+6

x is between 0 and 1.

Since a < 0,

The biggest possible f(x) will occur when x = 0

f(0) = b

 

The smallest possible f(x) will occur when x = 1

f(1) = a + b

 

So f is between a+b and b.

 

[a+b, b]

hectictar  Mar 13, 2017

8 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details