How many critical values does the function f(x)= 3 + 4
Have?
A) none
B) one
C) two
D) three
E) four

Question

How many critical values does the function f(x)= 3  + 4 
Have?
A) none 
B) one 
C) two 
D) three 
E) four

Quizplus · Accepted Answer

To find the critical values of a function, we need to find the values of x where the derivative of the function is equal to zero or undefined. 
Taking the derivative of the given function, we get: 
f'(x) = 3e^(3x) + 8e^(4x) 
Now equating this to zero, we obtain: 
3e^(3x) + 8e^(4x) = 0 
Dividing both sides by e^(3x), we get: 
3 + 8e^x = 0 
Solving for e^x, we get: 
e^x = -3/8 
Since e^x is always positive, this equation has no real solution. So, the derivative is never equal to zero or undefined, which means there are no critical values for the given function. 
Therefore, the correct choice is C) none.

How Many Critical Values Does the Function F(x)= 3