Suppose f is a function and f(1) = 3. In addition suppose that, as x goes from 1 to 4, the average rate of change of f is – 6. In the text box below, enter the value of f(4*()). Your answer should be a number; do not enter letters or other symbols in the text box. Your answer must be exact, please do not round off your answer. For example, do not round off 1/3 to be .33. After entering your answer, click the Save Answer button.

f(4) = -15

Step-by-step explanation:

Since we have an average rate of change, we can deduce that a line, with a gradient of -6 joins the points on the function, f, when the parameter is 1 and when it is 4, i.e. the line passes through the point (1, 3) and has a gradient of -6;

From this, we know that for every value of x we increase the, value y will decrease by 6;

So if we increase 1 by 3, to get to 4, the y value must decrease by 18 (3×6);

Written mathematically, it would look like:

f(4) = 3 + (4 - 1)(-6)

= 3 - 18

= -15

(4, -15)

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.