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Len [333]
2 years ago
8

Does the graph represent a function? Please help. Look at photo

Mathematics
1 answer:
mixer [17]2 years ago
4 0

Answer:

A function is defined as an operation on a number, which gives only one output for every input

while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function

Now, lets look at the graph

for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5

Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output

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If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.
mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 =  = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

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Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

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  • x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

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