Given the graph of f" (x) at what values is there a possible inflection point? y 2 4 8 O 1, 4, and 7 O 1 O O and 8 O 2, 3, 4, and 6

Q: To shift the graph of f(z) = clog, (dz + g) - a+ change the parameter g. vertically down diagonally…

A: Given query is to find the effect of parameter g on the graph.

Q: Suppose the line tangent to the graph of f at x 3 is y 6x 5 and suppose y 2x - 2 is the line tangent…

A: The tangent line to the graph of f at the point x=3 is y = 6x + 5 and the tangent line the graph of…

Q: For what values of z does the graph of f(z) = 21 – 9z² – 60z – 1 have a horizontal tangent line?…

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Q: Which of the following describes the behavior of the graph of y = |x² – 16| at x = 4: a.…

A:

Q: the line 3x+ y=l is the tangent line for the graph of y= f(x) at x=1, then f'(1)= 1 (C) 1 (D) 3 A) 3…

A: The slope of the line y=mx+c is m. The slope is equal to the derivative of y i.e., f'y=m

Q: - Does the graph of fo, x< 0 1. r20 U(x) = have a vertical tangent line at the point (0, 1)? Give…

A: Given: The function To check: Whether the given graph has vertical tangent line at the point (0, 1)…

Q: Find the absolute extrema of the function on the closed interval.

A: Consider the function g(x)=sec x on the interval -π6, π3 To find the absolute extrema of the…

Q: Assume y = 3 · 5* is the equation for the blue line shown in the graph below, and that the black…

A: The equation of curve is:  y=3·5x

Q: When f"(x) is negative, the curve of y =f(x) is concave A downward B upward c) to the left D to the…

A: when f''(x) &lt; 0,than than curve of f(x) is concave downward option (A) downward

Q: The graph of the function y = f(x) passes through the point (-1, 1) and the line tangent to the…

A:

Q: :-1 What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the point…

A: As per guidelines we have to solve the 1st one

Q: 9. Given that the graph of f passes through the point (1, 5) and that the slope of its tangent at…

A:

Q: 4. Sketch the graph and find the relative extrema on the indicated interval: y = 4x1/3 + x1/3 [-2,2]

A:

Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: f(x)=tanx4, (0,2π)

Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

Q: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: Find values of a, b, and c such that the graph of f(x) = ax³ + bx² + cx_has a horizontal tangent at…

A: The graph passes through (1,1). So at x=1, f(x)=1

Q: The slope of the curve f(x) =. - at x =1 is O a. 1 Ob. 13 3 -17 O d. 3 3. 1/3

A: Differentiate wrt x at given value

Q: For function f (x, y) x2+1 Let us consider the level curve f(x, y) = 2. Does the point (1, 2) belong…

A: f(x,y) = y2/(x2+1)  Also,  f(x,y) = 2  We have (x,y) = (1,2)

Q: The function f is defined by f (x) = - What point(s) (x, y) x+4 on the graph of f have the property…

A:

Q: The tangent line to the graph of y = g(x) at the point (4, 2) passes through the point (1, 8). Find…

A: topic - slope of a tangent line

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

A:

Q: Use the graph of y = f(x) in the given figure to obtain each of the following graphs: a. g(x) =…

A: h(x) = f(1/2x)

Q: The graph of y = f(x) (solid) and its tangent line at (0, - 5) (dashed) is shown. 10+ 6- 4- 10 -9 -8…

A: Given: The graph of y=f(x) and its tangent line is at (0,-5) (dashed) is shown.

Q: Suppose that f is a function given as f(x) r + bx+ cz + 3. Find the exact values of b and c if we…

A: To solve  this we first find equation of tangent and then we will compare with the given Equation of…

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: 41. Aroller coaster has the shape of the graph in Figure 19. Show that when the roller coaster…

A:

Q: Suppose that f is a function given as f(x) = x° + bx? + cx – 2. Find the exact values of b and c if…

A:

Q: The graph of y = f(x) (solid) and its tangent line at ( – 5, – 3) (dashed) is shown. - 10+ 7- 6+ 2-…

A: Graph of the function and its tangent line is given, we have to find the required values

Q: Let g be the function given by g(x) = C (2 – 5t – 14) dt. What is the x-coordinate of the point of…

A:

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

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

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

Q: Consider the graph of f(x) = 11-x^2. Find the coordinates of the point P in the graph at which the…

A: Let the tangent passes through (h,k) (h,k) is on f(x) = 11-x2. So k=11-h2 That means (h,k)=(h,…

Q: If f(r) and g(x) are differentiable and y = horizontal tangent line at z f(r) has an x-intercept at…

A: We have to choose correct one.

Q: 13 Let f(x) 13 is 4 The slope of the tangent line to the graph of f(x) at the point 4, 13 The…

A:

Q: The slope of the tangent line to the graph of y =; I+1 when x = 1 is %3D %3D - 4 3/4 O 1 4. 1/2

A: y=xx+1 Slope of the tangent line is the derivative of the given function at the given point. So…

Q: 7. An equation of the line tangent to the graph of f at the point (2, 7) is y = 4x – 1. Find f(2)…

A: Topic - point of tangent To the curve and slope of tangent to the curve

Q: x Sketch the level curves of the function f(x, y) = 4 y for c = 9 -9, –4, – 1,0. -

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Q: What are the x-coordinates of the local extrema of f(x) given its graph in the figure? Enter your…

A: We know that f'(x)=0 at those points where their tangents are parallel to the x-axis. So in this…

Q: The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y y…

A: Given that: Graph of f'(x)

Q: Which of the following statements is best describes a true relationship between the parabola f(x)…

A:

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Consider an F-curve with d f = (2, 14). Identify the degrees of freedom for the denominator.

A: The degree of freedom for F ratio is (k-1, N-k), where k is the number of treatment conditions and N…

Q: The tangent line to the graph of y = g(x) at the point (6, 8) passes through the point (3, 2). Find…

A:

Q: Two vehicles start out traveling side by side along a straight road. T owing graph, are given by s =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 10. Find the points of inflection of the curve y f(x)=x³ -x.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Based on the graph dete original function h(x) a) interval(s) where h(.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: