Mathematics
Grade-8
Easy

Question

Match the function h(x) = 2x (x + 1) (x + 2) to the graph

hintHint:

We will substitute the points on given graphs to find which graph represents the given function.

The correct answer is:


    GIVEN-
    h(x) = 2x (x + 1) (x + 2)
    TO FIND-
    Graph of the given function.
    SOLUTION-
    >> Option a is eliminated because it has point (1,0) on the graph.
    However, as per the given function-
       h(x) = 2x (x + 1) (x + 2)
    ∴ h(x) = 2 (1) (1 + 1) (1 + 2)
    ∴ h(x) = 2 * 2 * 3
    ∴ h(x) = 12
    Since, (1,0) does not satisfy the given function, it is not the correct answer.
    >> Option b is eliminated because (1,12) is not a point on the graph.
    Hence, option b is also eliminated.
    >> Option c is eliminated because (1,12) is not a point on the graph.
    Hence, option b is also eliminated.
    >> Hence, option d is the correct answer.
    FINAL ANSWER-
    Option 'd' is the correct answer to the given question.

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