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24.

Which points are on the graph of the function rule ƒ(x) = 10 – 4x?

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To determine which points are on the graph of the function \( f(x) = 10 - 4x \), we can evaluate the function for different values of \( x \) and find the corresponding \( y \) values, where \( y = f(x) \).

Here are a few examples of points:

  1. For \( x = 0 \): \[ f(0) = 10 - 4(0) = 10 \] Point: \( (0, 10) \)

  2. For \( x = 1 \): \[ f(1) = 10 - 4(1) = 10 - 4 = 6 \] Point: \( (1, 6) \)

  3. For \( x = 2 \): \[ f(2) = 10 - 4(2) = 10 - 8 = 2 \] Point: \( (2, 2) \)

  4. For \( x = 3 \): \[ f(3) = 10 - 4(3) = 10 - 12 = -2 \] Point: \( (3, -2) \)

  5. For \( x = -1 \): \[ f(-1) = 10 - 4(-1) = 10 + 4 = 14 \] Point: \( (-1, 14) \)

  6. For \( x = -2 \): \[ f(-2) = 10 - 4(-2) = 10 + 8 = 18 \] Point: \( (-2, 18) \)

So, the points \( (0, 10) \), \( (1, 6) \), \( (2, 2) \), \( (3, -2) \), \( (-1, 14) \), and \( (-2, 18) \) are all on the graph of the function \( f(x) = 10 - 4x \). You can plot these points to visualize the linear graph, which will have a downward slope.