Draw the graph of y = 9 - x2.

Draw the graph of y = 9 - x².

Graph

Given y = 9 - x²

x	0	3	-3	1
y	9	0	0	8

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Functions and Their Graphs

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Chapter 5: Differential Calculus - Miscellaneous Problems [Page 125]

Chapter 5 Differential Calculus
Miscellaneous Problems | Q 2 | Page 125

Determine whether the following function is odd or even?

f(x) = x² – |x|

For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`

If f(x) = e^x and g(x) = log_ex then find (fg)(1).

Draw the graph of the following function:

f(x) = 16 – x²

Draw the graph of the following function:

f(x) = e^2x

Draw the graph of the following function:

f(x) = e^-2x

If f(x) = `1/(2x + 1)`, x > `-1/2`, then show that f(f(x)) = `(2x + 1)/(2x + 3)`

The graph of y = 2x² is passing through:

If f(x) = 2^x and g(x) = `1/2^x` then (fg)(x) is:

If f(x) = x² and g(x) = 2x + 1 then (fg)(0) is: