2 years ago

Write an equation that represents the line. Use exact numbers.

Mathematics

1 answer:

Nikitich [7]2 years ago

7 0

Answer:

y = 4/5x - 18/5

Step-by-step explanation:

y = mx + b

m = 4/5

(2, -2)

-2 = 8/5 + b

b = -10/5 - 8/5 = -18/5

y = 4/5x - 18/5

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What are the domain and range of the function? f(x) = ^3 square x - 3

DerKrebs [107]

Step-by-step explanation:

$f(x) = \sqrt[3]{x - 3}$

The domain of a function are the values of $x$ that you can plug into the function $f(x)$ .

Values inside of a root must be non-negative, which means that $x - 3$ must be greater than or equal to zero. We can set up an equation to find the domain:

$x - 3 \geq 0$

$x \geq 3$

With this, we know the domain of the function is $[3, \inf)$ .

The range of a function are the values that $f(x)$ can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is $[0, \inf)$ .