12. Which of the following is true about the graph of the function, y= (x-2)³(x-1)*(x+4)? A. The graph falls to the left and rises to the right. B. The graph is tangent to x-axis at x=4. C. The graph is tangent to x-axis at x=1 D. The graph crosses the x-axis at x=1.

Q: Practice question 5.3

A: Graph the following functions based on f(x)=|x|G(x)=|x-1|+1H(x)=|x+3|-2

Q: The graphs above are approximate graphs of f and f' for f(x) = x°(x – 12). So f is decreasing (and…

A:

Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

A:

Q: Suppose f is a function where the line tangent to it at x = 3 is given by y = 5x + 2. Find the…

A: Given information: y=5x+2,  Find the value of f(3) and f'(3)

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Given that the graph of f(x) passes through the point (9, 6), and that the slope of tangent line to…

A: First calculate f(x) then use (9,6) to find the constant in f(x). Then find f(5).

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide.…

A:

Q: Which of the following is an equation of the line tangent to the graph of f(x)=x^3-x at the point…

A: Calculus Question

Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: 3. When compared to f (x) = e*, how does the graph of h(x) = -e**3-4 x+3 differ? A Vertical stretch…

A: Consider the functions  f(x)=exh(x)=14ex+3−4

Q: The graph of f (x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A: Given that fx=x is reflected over the x-axis shifted vertically up 1 unit ,horizontally compressed…

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Given graph is as follows where the red graph shows f(x)  and a line tangent to the curve at x=4.…

Q: The magazine Scientific American released a study of data analysis on how quickly children are able…

A: The function P(t) represents the percentage of children who can speak in at least single words by…

Q: Show analytically (that is, without reference to a graph) that h(x) = v1 + x is always increasing,…

A:

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Find the slope of the line tangent to h(x) = f(x)g(x) at x = 6, given that the line tangent to the…

A: We have to find

Q: Find the value of the constant & that makes the following function continuous on (-o, o). | 2x – 6…

A: fx=2x-6     if  x≤6-3x+b  if  x>6 Since the function is a polynomial function for all x<6…

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x)…

A: The given function is

Q: 6. The following graph is the derivative (f') of a function f. to -4 а. For what values of x is f…

A: (a).  The function f is increasing when: f'(x)>0

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

A:

Q: For what value(s) x does the graph of f(x) ==- x² + 3 have a horizontal tangent? For what value of…

A: For horizontal tangent first derivative must be zero

Q: se the following graphs to estimate f(g(2). 3 3 f(r) g(x) -3 3 -3 3 -3 -3 Round your answer to one…

A: Topic:- function

Q: Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2…

A: Consider the graph of a function

Q: 5. Determine the area of the largest triangle that can be formed in the first quadrant by the…

A: The area is found by making a function of area into a variable and finding the values at which…

Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

A:

Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: 1. Match the equation of the following functions to the appropriate graph. Justify your answer. . ..…

A: The given function is, i) f(x)=22(x-3)+2ii) h(x)=-122x+2-2iii) g(x)=12-x+1-2iv) k(x)=-2x-3+2

Q: Find the y-intercept of the line tangent to the graph of f(x) = 4/æ at x = 9. O 4 Answer not listed…

A: Slope of tangent is obtained by differentiating the function f(x).

Q: Find all the values of x where the graph of f(x) = 2x – 24x2 + 72 - 1 has a horizontal tangent line.…

A:

Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

Q: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

A:

Q: If f is a one-to-one function with f(3) = 5 and f'(3) = 2, find the equation of the line tangent to…

A: To find tangent line.

Q: This is what I have so far but it says I am missing something.

A:

Q: If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

A: topic - slope of tangent line

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A:

Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

A:

Q: Find the x-coordinate on the graph of f (x) = x3 - 12 x where the tangent is horizontal. (A) 1, - 2…

A:

Q: Given the graph of f(x) below, for what value(s) of x is f(x) non-differentiable?

A:

Q: Find the slope of the line that is tangent to the graph of f(x)=3x²-2 at P(-3, 25). O -3/25 O 27 O…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line…

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the…

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -…

A:

Q: 5. Find the length of the curve given by the graph of the function f(x) = x/x, for a in [1,4].…

A:

Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…