Yes, it is a function, because no x value is repeated.
The completely factored equation is (a²b - 5)(4a²b - 1)
<h3>How to factor equation?</h3>
4a⁴b² - 21a²b + 5 = 0
let's expand the equation
Therefore,
4a⁴b² - 21a²b + 5 = 0
4a⁴b² - 20a²b - a²b + 5 = 0
Rearrange the equation
4a⁴b² - a²b - 20a²b + 5 = 0
Let's factorise the equation
4a⁴b² - a²b - 20a²b + 5 = 0
a²b(4a²b - 1) - 5(4a²b - 1) = 0
Therefore, the completely factored equation is as follows:
a²b(4a²b - 1) - 5(4a²b - 1) = 0
(a²b - 5)(4a²b - 1)
learn more on equation here: brainly.com/question/8842252
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The vertex form of the function f(x) is
.
<h2>Given </h2>
Function; 
<h3>What is the vertex form of function?</h3>
The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.
The standard equation which represents the vertex form of the function is;

Where h and k are vertexes of the given parabola.
The function is in vertex form;

Hence, the vertex form of the function f(x) is
.
To know more about the Vertex form lick the link given below.
brainly.com/question/9070346
Y=-3x-1
bc the y intercept is -1 and the slope is -3