Question 1

If $f(x) = x^2 - 5$ and $g(x) = x + 4$, find $f(g(x))$.

Accepted Answer

$x^2+8x+11$

Answer

$x^2-4x-16$

Answer

$x^2-1$

Answer

$x^2+8x+16$

Question 2

2.  Find g(f(2)).

Accepted Answer

44

Answer

4

Answer

29

Answer

8

Question 3

3.  Describe how the graph is shifted from the parent graph:

Accepted Answer

Right 5, Down 8

Answer

Right 5, Up 8

Answer

Left 5, Down 8

Answer

Left 5, Up 8

Question 4

4. Write the equation for the graph:

Accepted Answer

$y=(x+1)^2 -4$

Answer

$y=(x+3)^2 + 1$

Answer

$y=(x-1)^2 -4$

Answer

$y=(x+4)^2 + 1$

Question 5

5. Write the equation for the graph:

Accepted Answer

$y=\sqrt{x-2}+3$

Answer

$y=\sqrt{x+2}-3$

Answer

$y=(x-2)^3+3$

Answer

$y=\sqrt{x-3}+2$

Question 6

6. Determine if the graph of $y = 5x^2$ is symmetric with the y-axis, origin, both, or neither.

Accepted Answer

y-axis

Answer

neither

Answer

origin

Answer

both

Question 7

7. Determine if the function $y=5x^2$ is even, odd, or neither algebraically.

Accepted Answer

even

Answer

neither

Answer

both

Answer

odd

Question 8

8. Determine if the function is even, odd, both, or neither.

Accepted Answer

odd

Answer

even

Answer

both

Answer

neither

Question 9

9.  Find the inverse.

Accepted Answer

$f^{-1}(x)=\frac{1}{4}x+3$

Answer

$f^{-1}(x)=\frac{1}{4}x-3$

Answer

$f^{-1}(x)=-4x+3$

Answer

$f^{-1}(x)=\frac{1}{12}x+4$

Question 10

10.  Graph the piecewise function:

Accepted Answer

https://uploads.quizalize.com/ad3ae995-7743-4852-a6c5-510534f26480/question/081bceb36d686be8ce8a107d95cf20f98a1e3e1c.png

Answer

https://uploads.quizalize.com/ad3ae995-7743-4852-a6c5-510534f26480/question/7d492299436b2a6c42240e99e59ee064c33f9e22.png

Answer

https://uploads.quizalize.com/ad3ae995-7743-4852-a6c5-510534f26480/question/67defad820d10790d4e68d25776c97dd239a113d.png

Answer

https://uploads.quizalize.com/ad3ae995-7743-4852-a6c5-510534f26480/question/937e8ceecbeb7f627ae309a2783fd7c7a41b4586.png

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