3 years ago

What is the domain and range of the step function with the equation below f(x)=-3 x

1 answer:

3 0

The function f(x)=-3x follows a linear form y=ax+b, where a is the slope and b is the y-intercept. From our function:
f(x)=-3x
f(x)=-3x+0
slope, a=-3 and y-intercept is 0. This implies that the function is a linear function, thus the domain and range will be:
domain:
(-∞,∞)

Range:
(-∞,∞)

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Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

lara [203]

Answer:

<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>

Step-by-step explanation:

$f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8$