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The following figure shows the graph of ...

The following figure shows the graph of `f(x)= ax^(2)+ bx+c`, find the sign of `a, b and c`.

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Fromt the graph, `f(0)= c gt 0` (as the graph intersects the y-axis on the positive side)
Also the graph is concave downwards, so `a lt0`.
Further, the vertex lies on the right-hand side of y-axis, so the abscissa of the vertex is `-(b)/(2a) gt 0 rArr b gt ` (as ` alt0`).
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CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
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  5. Sketch the region satisfying |x| lt |y|.

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  14. Draw the graph of y = {{:(2^(x)",",, x^(2)-2x le 0 ),( 1+3.5 x- x^(2),...

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  17. Find the set of real value(s) of a for which the equation |2x+3|+2x-3|...

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  18. Draw the graph of y= 2^(((|x|+x))/(x)).

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  19. Draw the graph of y= x ^((1)/(log(e)x)).

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  20. Find the number of solutions to the question x+log(e)x=0.

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