Ask a New Question
Menu

Y=-7/8x^3

Plot five points on the graph of the function: one point with x=0, two points with negative x-values, and two points with positive x-values. Then click on the graph-a-function button.

1 answer

To plot the points for the function \( Y = -\frac{7}{8}x^3 \), we will calculate the values of \( Y \) for various values of \( x \).

Choose x-values:

  1. \( x = 0 \)
  2. \( x = -2 \)
  3. \( x = -1 \)
  4. \( x = 1 \)
  5. \( x = 2 \)

Calculate corresponding y-values:

  1. For \( x = 0 \): \[ Y = -\frac{7}{8}(0)^3 = 0 \] → Point: \( (0, 0) \)

  2. For \( x = -2 \): \[ Y = -\frac{7}{8}(-2)^3 = -\frac{7}{8}(-8) = 7 \] → Point: \( (-2, 7) \)

  3. For \( x = -1 \): \[ Y = -\frac{7}{8}(-1)^3 = -\frac{7}{8}(-1) = \frac{7}{8} \] → Point: \( (-1, \frac{7}{8}) \)

  4. For \( x = 1 \): \[ Y = -\frac{7}{8}(1)^3 = -\frac{7}{8}(-1) = -\frac{7}{8} \] → Point: \( (1, -\frac{7}{8}) \)

  5. For \( x = 2 \): \[ Y = -\frac{7}{8}(2)^3 = -\frac{7}{8}(8) = -7 \] → Point: \( (2, -7) \)

Summary of Points:

  • \( (0, 0) \)
  • \( (-2, 7) \)
  • \( (-1, \frac{7}{8}) \)
  • \( (1, -\frac{7}{8}) \)
  • \( (2, -7) \)

Plotting the Points:

Now you can use these points to graph the function. When plotting, you'll see that the function has a cubic shape and trends downward as \( x \) becomes positive. If you were to graph this, it would show a smooth curve that passes through all the mentioned points.

Graph-a-Function:

You can now plot these points and connect them to visualize the cubic function \( Y = -\frac{7}{8}x^3 \). This illustrates the function's behavior for both negative and positive values of \( x \).