How are the graphs #f(x)=x# and #g(x)=3/4x^2# related?
They both are expressions of a value derived from a given different value. They have common points at
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The graphs of ( f(x) = x ) and ( g(x) = \frac{3}{4}x^2 ) are related in the following ways:

Both functions are related by a transformation. The function ( g(x) ) is obtained from ( f(x) ) by squaring the input and then scaling the output by a factor of ( \frac{3}{4} ).

The graph of ( g(x) ) is a parabola that opens upwards, while the graph of ( f(x) ) is a straight line with a slope of 1, passing through the origin.

The vertex of the parabola ( g(x) ) is located at the origin (0,0), while the vertex of the linear function ( f(x) ) is also at the origin (0,0).

As ( x ) increases or decreases for both functions, ( f(x) = x ) produces a straight line with a constant slope of 1, while ( g(x) = \frac{3}{4}x^2 ) produces a parabola that opens upwards and widens as ( x ) increases.

Both functions are continuous and defined for all real numbers.
In summary, while ( f(x) = x ) represents a linear function, ( g(x) = \frac{3}{4}x^2 ) represents a quadratic function. Despite their different shapes, they share the commonality of passing through the origin (0,0).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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