Real numbers And functions

Question

Suppose that the function g is defined, for all real numbers, as follows.

Suppose that the function g is defined, for all real numbers, as follows.

 

g(x)= -1 if x ≠1

     -4if x =1

 

 

Find g(4), g(1), and g(-3)

Answer 1

Hi Lindsey!

In this function, the conditions give us all the information we need. Sometimes, functions are so simple they seem to be trick questions. This question is more about applying the given information versus solving anything. With that said, because

g(x)= -1 if x ≠1, -4 if x =1

g(4) and g(-3) will equal -1 since 4 and -3 do not equal 1. g(1) = -4 because x = 1 and the conditions gave us that.

Hope this helps~

Answer 2

Hi Lindsey,

The function you've presented is a simple piecewise function on two conditions.

If the input (x) is equal to 1, the output (g(x)) is equal to -4. Otherwise, it's equal to -1.

Therefore, g(4) = -1, g(1) = -4, and g(-3) = -1

Hope that helps!