Maths-
General
Easy
Question
f (x) = (x + 4) (x - 1) (2x - 3)
The function f is defined above. Which of the following is NOT an x-intercept of the graph of the function in the xy-plane?
- (-4,0)
-
- (1,0)
-
The correct answer is:
Hint:
We will substitute the values of each point given in the options and check whether LHS = RHS.
Step-by-step solution:-
A. (-4,0)
f (x) = (x + 4) (x - 1) (2x - 3)
∴ 0 = (-4 + 4) (-4 - 1) (2
-4 - 3)
∴ 0 = 0 (-5) (-8 - 3)
∴ 0 = 0
∴ LHS = RHS
B.
f (x) = (x + 4) (x - 1) (2x - 3)
∴ 0 ≠ 
∴ LHS ≠ RHS
C. (1,0)
f (x) = (x + 4) (x - 1) (2x - 3)
∴ 0 = (1 + 4) (1 - 1) (21 - 3)
∴ 0 = 5 0 -1
∴ 0 = 0
∴ LHS = RHS
D.
f (x) = (x + 4) (x - 1) (2x - 3)
∴ 0 = 0
∴ LHS = RHS
Since for option B, LHS ≠ RHS, therefore it is not an x-intercept
Final Answer:
Option B i.e. is the correct Option.
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