This problem contains a function and its graph, where . Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically.
A) 3
B) 0
C) 4
D) 1
E) does not exist

Question

This problem contains a function and its graph, where  . Use the graph to determine, as well as you can,  . Check your conclusion by using the function to determine  analytically. ​  ​  ​
A) 3 
B) 0 
C) 4 
D) 1 
E) does not exist

Quizplus · Accepted Answer

From the graph, we can see that the function has a zero at x=1. Therefore, we know that f(1) = 0.

To check our conclusion analytically, we can plug in x=1 into the function.

f(x) = (x-1)(x-3)(x-4)

f(1) = (1-1)(1-3)(1-4) = 0

Therefore, the answer is D, 1.

This Problem Contains a Function and Its Graph, Where