Graphs of Quadratic Equation for Different Values of D When a>0
The graph of ...
Question
The graph of a quadratic polynomial f(x) is shown below:
Which of the following options is/are correct?
A
f(−1)<0
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B
f(2)>0
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C
f(−2)>0
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D
f(1)=0
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Solution
The correct option is Df(1)=0 Given: f(x) is a quadratic polynomial.
The graph is cutting the x− axis at x=1 ⇒x=1 is the only root of the equation f(x)=0 ⇒f(1)=0
Also, from graph we can clearly see that f(x)>0∀x∈R−{1} ∴f(2)>0;f(−2)>0&f(−1)>0