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GO Classes Test Series 2023 | Calculus | Test 1 | Question: 12

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Which of the following is/are FALSE?
  1. The absolute maximum value of $f(x)=\dfrac{1}{x}$ on the interval $[2,4]$ is $2.$
  2. If $f(x)$ is a continuous function and $f(3)=2$ and $f(5)=-1$, then $f(x)$ has a root between $3$ and $5 .$
  3. The function $g(x)=2 x^{3}-12 x+5$ has $5$ real roots.
  4. If $h(x)$ is a continuous function and $h(1)=4$ and $h(2)=5$, then $h(x)$ has no roots between $1$ and $2.$
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