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Sindrei [870]
3 years ago
5

When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the

number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each axis on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables? Could you graph an equation containing more than four variables? Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? What would happen to the graph if all the x-values were increased by 1? What would happen to the graph if all the y-values were multiplied by 2 or by 1/2? Explain.
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
What would you use to represent the solution in an equation with a variable?
 I would use the real line that goes from x belongs (-infinite, infinite).
 What would you use to represent the solution in an equation with three variables?
 To present the solution of an equation with three variables you need the XYZ coordinate system because you would generate a 3D graph because "because the number of variables is equal to the number of dimensions needed to graph the solution correctly".
 Could you graph an equation that contains more than four variables?
 It CAN NOT be done since the number of variables is equal to the number of dimensions that are needed to graph the solution correctly. Therefore, we can graph only up to three variables (three dimensions).
  If you were given the graph of an equation with two variables in a coordinate plane, what would happen to the graph if all the values ​​of y were increased by 1?
 if all the values ​​of y are increased by 1, the graph shifts by 1 unit to the right.
 What would happen to the graph if all values ​​of x were increased by 1?
 If all values ​​of x are increased by 1, the graph moves 1 unit up.
 What would happen to the graph if all the <span> y-</span>values ​​were multiplied by 2 or by 1/2?
 If the values ​​of y are multiplied by 1/2 then the slope of the graph is smaller so the graph looks wider.
 If the values ​​of y are multiplied by 2 then the slope of the graph is larger so the graph looks narrower.
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1) There are two complex roots. A is correct.

2) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. D is correct

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4) C is correct.

5)

Step-by-step explanation:

1) Number of complex root.

We can not factor it completely. Because it's prime equation. We will make the graph of  and then see the x-intercept of the graph.

Because number x-intercepts are the zeros of polynomial. Please see the attachment for graph. In graph we can see it cuts only two points but their highest degree is 4. Maximum possible roots are 4 but only 2 are real and 2 are complex.  

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First we make two group and then factor it

Thus, complete factor of f(x) is (x+3)(x+4i)(x-4i)

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