VA HW#04 Ch2.2 Slope, rate of chan x + V X - > C a webassign.net/web/Student/Assignment-Responses/last?dep=29238582 5. [0/6 Points] DETAILS PREVIOUS ANSWERS BERRAPCALCBR7 2.2.013. MY NOTES ASK YOUR TEACHER Find the average rate of change of the given function between the following pairs of x-values. [Hint: See pages 95-96.] f(x) = 5x + 1 (a) x = 3 and x = 5 (16, 26) X (b) x = 3 and x = 4 (c) x = 3 and x = 3.5 (d) x = 3 and x = 3.1 (e) x = 3 and x = 3.01 (f ) What number do your answers seem to be approaching? # Show My Work (Optional) ? 26 C 4:59 PM X () D cloudy 7/6/2022 1VA HW#04 Ch2.2 Slope, rate of chan x G montage mountain adult swim - X + V X C a webassign.net/web/Student/Assignment-Responses/last?dep=29238582 I K 6. [-/6 Points] DETAILS BERRAPCALCBR7 2.2.009.MI. MY NOTES ASK YOUR TEACHER Find the average rate of change of the given function between the following pairs of x-values. f (x) = 4x2 + 3x (a) x = 1 and x = 3 (b) x = 1 and x = 2 (c) x = 1 and x = 1.5 (d) x = 1 and x = 1.1 (e) x = 1 and x = 1.01 (f) What number do your answers seem to be approaching? Show My Work (Optional)? 7. [-/8 Points] DETAILS BERRAPCALCBR7 2.2.017.MI.SA. MY NOTES ASK YOUR TEACHER 26 C 5:02 PM Cloudy 7/6/2022 1VA HW#04 Ch2.2 Slope, rate of chan x G montage mountain adult swim - X + X C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238582&tags=autosave#question4762540_6 K 7. [-/8 Points] DETAILS BERRAPCALCBR7 2.2.017.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the formula below to find the instantaneous rate of change of the function at the given x-value. f (x) = 9x2 + 9x at x = 4 Average and Instantaneous Rate of Change Step 1 From the text, the instantaneous rate of change of the function f(x) is lim _(+ ) . Substituting f(x) = 9x2 + 9x into this formula and getting rid of the parentheses, we have the following. h - h f ( x + h ) - f( x) = lim 9 ( x + h ) 2 + 9( - (9 x2 + 9x ) h h 9x2 + 18 + 9/2 + 9x + - 9x2 - 9x = lim h - h Submit Skip (you cannot come back) Show My Work (Optional) ? 3 26.C 5:03 PM 1 cloudy LO 7/6/2022VA HW#04 Ch2.2 Slope, rate of chan x G montage mountain adult swim - X + X C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238582&tags=autosave#question4762420_8 K 9. [-/6 Points] DETAILS BERRAPCALCBR7 2.2.039.MI.SA. MY NOTES ASK YOUR TEACHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find f'(x) by using the definition of the derivative. f ( x ) = _ 3 x Step 1 From the text, the derivative of the function f(x) is f'(x) = lim _(+) . Substituting f(x) = - into this formula and then writing the fractions with a common denominator, we have the h - 0 h following. lim f ( x + h) - f(x) _ .= lim h - 0 h h - o 2x lim 3x(x + h) h - 0 3x(x + h) h Submit Skip (you cannot come back) # Show My Work (Optional) 3 26C 5:03 PM X 7/6/2022 1 CloudyVA HW#04 Ch2.2 Slope, rate of chan x G montage mountain adult swim - X + V X > C a webassign.net/web/Student/Assignment-Responses/tutorial?dep=29238582&tags=autosave#question4762420_8 K 10. [-/3 Points] DETAILS BERRAPCALCBR7 2.2.049. MY NOTES ASK YOUR TEACHER For the function, complete the following. f(x) = 4x - 4 (a) Find f'(x) using the definition of the derivative. f' ( x ) = (b) Explain, by considering the original function, why the derivative is a constant. O The graph of f(x) represents a straight line with constant slope. O The graph of f(x) has a negative y-intercept. O The graph of f(x) does not pass through the point (0, 0). O The graph of f(x) represents a straight line with an undefined slope. O all of these # Show My Work (Optional) ? 3 Submit Assignment Save Assignment Progress 26 C O 5:03 PM 9 7/6/2022 1 Cloudy