How do I find the stretches of a transformed function?
Do I look for the x and y intercepts and the invariant points?
Do I look for the x and y intercepts and the invariant points?
Look at the variables of
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To find the stretches of a transformed function, you need to examine the coefficients of the function's equation.

For a vertical stretch (or compression) of a function, look at the coefficient of the function's variable inside the function itself. If the coefficient is greater than 1, the function is vertically stretched. If it's between 0 and 1, it's vertically compressed.

For a horizontal stretch (or compression), look at the coefficient of the variable inside the function's argument (such as x). If the coefficient is greater than 1, the function is horizontally compressed. If it's between 0 and 1, it's horizontally stretched.

If there's a negative sign in front of the function, it reflects the function across the xaxis. If there's a negative sign within the function (e.g., f(x)), it reflects the function across the yaxis.
Remember, these transformations affect the graph of the function but not its essential shape or characteristics.
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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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