Question

Постройте график функции 1) y=(2x-1)(4x^2+2x+1)8x^3 2)y=(x+1)(x+4)-(x+3)^2 3)y=(0,5x+2)^2-(0,5x-1)(0,5x+1)

Answer 1

Графики приложены
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Answer 2

Graphing the Functions

Let's graph the given functions:

1) y = (2x-1)(4x^2+2x+1)8x^3+2 2) y = (x+1)(x+4)-(x+3)^2+3 3) y = (0.5x+2)^2-(0.5x-1)(0.5x+1)

Graph of y = (2x-1)(4x^2+2x+1)8x^3+2

The graph of this function can be quite complex due to the high degree of the polynomial. To understand its behavior, it's best to use a graphing calculator or software to visualize the function.

Graph of y = (x+1)(x+4)-(x+3)^2+3

This function is a quadratic function. The graph of a quadratic function is a parabola. The coefficient of the x^2 term determines whether the parabola opens upwards or downwards. The constant term shifts the parabola up or down.

Graph of y = (0.5x+2)^2-(0.5x-1)(0.5x+1)

This function is also a quadratic function. The graph of this function will also be a parabola. The coefficient of the x^2 term and the constant term will determine the shape and position of the parabola.

If you have specific x-values for which you'd like to see the corresponding y-values, please let me know and I can calculate those for you.

Is there anything else you'd like to know or discuss?