80 points math question! please explain in simple terms :)

Mathematics

2 answers:

Alisiya [41]3 years ago

6 0

Answer:

The graph would be something like this.

Step-by-step explanation:

The domain and range would be (-∞, +∞)

This is because, the function f(x) is valid for any of the values between (-∞, +∞)

Hope it helps.

marin [14]3 years ago

6 0

An absolute value function has a graph that is V shaped.

The domain is the input (x) value, which can be any real number, so the domain is (-∞,∞)

The range starts at the vertex and goes to infinity.

To find the vertex, set the absolute value part of the equation to 0 and solve for x:

x+3 = 0. x = -3

Now replace x with -3 and solve the full equation:

|-3 +3|-1 = -1

The vertex becomes (-3,-1)

The range is the output value ( Y) , so the range would be [-1,∞)

See attached picture for graph:

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Strike441 [17]

Answer:

$a = 6\sqrt 3,\:\:b =12,\:\:c=6\sqrt 2$

Step-by-step explanation:

$by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\ \\ 6 = \frac{1}{2} b\\ \\ 6 \times 2 = b \\ \\ 12 = b \\ \\ \huge\red {\boxed {b= 12}} \\ \\ a = \frac{ \sqrt{3} }{2} b \\ \\ a = \frac{ \sqrt{3} }{2} \times 12 \\ \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\ \\ c = \frac{1}{ \sqrt{2} } b \\ \\ c = \frac{1}{ \sqrt{2} } \times 12 \\ \\ c = \frac{ \sqrt{2} }{2} \times 12 \\ \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\ \\$