Question

Which statement correctly compares the function shown on this graph with the function y= 6x - 1? y 10 8 6 4 2 -10 8 6 4 2 -2 2 4 6 8 10 2 6

A. The function shown on the graph has a greater rate of change and a higher starting point. A

B. The function shown on the graph has a smaller rate of change and a lower starting point.

C. The function shown on the graph has a smaller rate of change, but a higher starting point.

D. The function shown on the graph has a greater rate of change and a lower starting point.​

Answer 1

B

Explanation:

Correct on a p e x

Answer 2

B. The function shown on the graph has a smaller rate of change and a lower starting point.

Explanation:

✍️The function y = 6x - 1, has:

slope (m) = 6, and

Starting point/y-intercept (b) = -1

✍️Let's find the slope (m) and the starting point (y-intercept) of the function shown on the graph:

Using the points, (0, -6) and (2, 4),

Slope =
`m = (y_2 - y_1)/(x_2 - x_1) = (4 -(-6))/(2 - 0) = (10)/(2) = 5`

Slope (m) = 5

The strating value is the value of y when x = 0. In order words, it is the point at which the line of the function intercepts the y-axis.

The y-axis is intercepted at y = -6.

Therefore, the starting value (b) = -6.

Therefore, the statement correctly compares the function shown on the graph above with the function y = 6x - 1 is:

B. The function shown on the graph has a smaller rate of change and a lower starting point.

Comparing their slopes, 5 is smaller than 6.

Comparing their starting points, -6 is lower than -1.