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Function 1: f(x)=32x+5


Function 2:

A diagonal line connects two data points on a coordinate plane.

Which function has the greater rate of change?

Type 1 for Function 1.

Type 2 for Function 2.

1 answer

To determine which function has a greater rate of change, we can look at the slope of each function.

  1. For Function 1: \( f(x) = 32x + 5 \)

    • The slope (rate of change) is 32.

  2. For Function 2, since it connects two data points with a diagonal line, the slope would depend on the coordinates of those points (let's say they are \((x_1, y_1)\) and \((x_2, y_2)\)).

    • The rate of change (slope) is calculated using the formula: \(\frac{y_2 - y_1}{x_2 - x_1}\).

Since we don't have the specific coordinates of Function 2, we can't compute its slope directly. However, if the slopes of Function 2's two points are less than 32, then Function 1 has the greater rate of change.

If you have the coordinates for the diagonal line or more details about Function 2, I can help calculate the slope for that as well.

Overall, without the specific slope for Function 2, we can see that the given rate of change for Function 1 is 32.

If you know Function 2's slope and it's less than 32, type 1 for Function 1; if it's greater, type 2 for Function 2.