Question

1 a linear function and exponential function have been drawn on the same coordinate plane. over any 1 unit interval of x, by what constant amount does the linear function grow? constant amount = enter your next step here unit(s)

Explanation:

Step1: Identify linear function growth

A linear function has a constant rate of change (slope). To find the growth over 1 unit of \( x \), we can use two points on the linear line. From the graph, assume the linear function passes through \((0, 0)\) and \((3, 12)\) (estimating from the grid). The slope \( m=\frac{y_2 - y_1}{x_2 - x_1}\).

Step2: Calculate the slope

Using \((0, 0)\) and \((3, 12)\), \( m=\frac{12 - 0}{3 - 0}=\frac{12}{3}=4 \). So over 1 unit of \( x \), the linear function grows by 4 units.

Answer:

4