Use the piecewise defined function below to answer the questions. 4x + 3 x < 1 f(x) (a) Find the horizontal intercept(s) of f. O x = -2, x = 2 O x = 1 0x==3³₁x = 1 X ㅇ = -3 x = 3³ 4 0x = =-3³₁x = 2 X 1/4-x²| 18 5 (b) Find the average rate of change of f over the interval [0, 5]. -5 18 -18 5 O 12 5 18 x 21

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: I+2 _x<l 16. For the piecewise function g(x)={ 3 4x-2 x21 answer the following questions. Explain…

A: Given, g(x)=x3+4   x&lt;14x-2   x≥1

Q: Consider the function f (x) = -4x2 + 8x - 1. %3D Step 2 of 2: Interpret the meaning of f '(-9) = 80.…

A:

Q: Which one of the following functions is decreasing ?(0, 2) on the interval :Select one

A:

Q: For the function shown in the figure below, find average rate of change from (-2, 4) to (1, -2).…

A: To find the average rate of change:

Q: Find the average rate of change of the function f(x) Average rate of change = Give exact answer! =…

A: Given,            The function is fx=2x2-3x+1, on the interval x ∈ 0,1.To find : Find the average…

Q: Find the slope at x = 3 on the graph of 2y - 4x = 9. (a) -4 (b) 2 (c) 10.5 (d) 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the average rate of change of the function f(x) = Average rate of change = Give exact answer!…

A:

Q: Use the graph of the function to estimate the interval on which the function is decreasing.

A: A function is said to be increasing when the y value increases as the x value increases.

Q: Using the 2nd Derivative Test, find all relative extrema of f (x) = 2x - 3x-4. Justify your answers.

A:

Q: Find the sum of the geometric series. −3 – 12 – 48 – 192, ... n = 6 O -3692 O -3320 0 1 O-4095

A:

Q: Determine the average rate of change of the function f(x) = 2x3 - 3x2 + 7x- 5 between x = 0 and x =…

A: We know that average rate of change of a function over an interval [a, b]  is A(x)=(f(b)-f(a))/(b-a)…

Q: Find the relative rate of change of f(x) = 12 +2e-2x The relative rate of change of f(x) is

A: The objective of this question is to find the relative rate of change of the function f(x) = 12 +…

Q: 2. Find the domain of the function f(x) = √4-3x using function notation. 3. Find the average rate of…

A:

Q: What is the average rate of change of f(x) from x₁ Answer = -7 to x₂ = 4? Please write your answer…

A: Given Data: Let us consider the given function is fx=6x+2. x1=-7x2=4 To Find: The average rate of…

Q: f(x+0.0001)-f(x) 0.0001 3x² + 8x atx Use f(x) - to determine the instantaneous rate of change of 3,…

A:

Q: Find the domain of the composition g o f using set notation. { x | x + } Enter the exact values…

A:

Q: As depicted above, oil is leaking out of the cone into a cylinder (storage container) whose circular…

A: Given,