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Chapter 6

Test Yourself

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02:10

Let $f(x)=|2(x-1)+4| .$ Fo…

00:29

Find $f(x)$ at the indicat…

00:39

02:30

$$f(x)=\frac{1}{(x-4)^{2}}…

02:14

$$f(x)=\frac{-1}{(x-4)^{2}…

02:25

$$f(x)=\frac{-1}{x-4}$$

07:19

$$f(x)=\frac{x}{\left(x^{2…

01:46

Find $f^{\prime}(x)$$$…

02:24

00:57

If $f(x)=x-\sqrt{x-2},$ fi…

Okay. This one says if F of X is equal to four extra forthe minus four for what value of exes affects equal to four. So if we have F X is equal to four, that basically means that the wise equal to four. So then we can say for is equal to four X before minus four. So then we want to be able to isolate our X variable. So we're going to go ahead and add four to both sides. Let me have eight is equal to four extra fourth and then we're going to divide by four on both sides. To get to is equal to X to the fourth reason we want to do this is so that we can again isolate that X variable. So then, if we raise this entire thing to the one fourth power, you should be able to get to this X by itself. And the reason why is because we know that if we're raising an exponent to an exponent, the numbers of the exponents are just gonna multiply. And we know that four times one fourth just becomes one. So then we have X to the one is equal to two to the one before, which is roughly about one point one nine. So be should be our answer.

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Let $f(x)=|2(x-1)+4| .$ For what value(s) of $x$ is $f(x)<4 ?$

Find $f(x)$ at the indicated value of $x$.$$f(x)=-x^{2}+x+2, x=4$$

Find $f(x)$ at the indicated value of $x$.$$f(x)=-4, x=12$$

$$f(x)=\frac{1}{(x-4)^{2}}$$

$$f(x)=\frac{-1}{(x-4)^{2}}$$

$$f(x)=\frac{x}{\left(x^{2}+4\right)^{4}}$$

Find $f^{\prime}(x)$$$f(x)=4 \csc x-\cot x$$

Find $f^{\prime}(x)$$$f(x)=\left[x^{4}-\sec \left(4 x^{2}-2\right)\r…

If $f(x)=x-\sqrt{x-2},$ find all values of $x$ for which $f(x)=4$.

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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