Find the intercepts of the graph of h(x) = 3 | x + 2 | - 1.

Q: Use the graph of y=f(x) to answer the following. 3+ 16 -2 -1 -2- -3-

A: we can find the values of 'x' for f(x) with the help of the graph.

Q: g(x) = V8x – 1

A: We need to find the range (y-axis)

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: Use the graph of f(x) = x3 to obtain the graph of h(x) = (1/2)x3.

A:

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: Sketch the graph of the function

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Q: 2) y=-5+ Vx+ 1

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

A:

Q: True or False The x-intercepts of the graph of a function  y = f(x) are the real solutions of the…

A: We know that the points where the graph of a function y = f(x) intersects the x-axis give the zeroes…

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: snip

A: Given function is fx=ax2+bx+c, where a≠0. To find the x-coordinate of the vertex. Solution: Vertex…

Q: D) The x-intercept of the graph of f is -4.

A: Given that: The two points ( - 4, 0 ) and ( 2, - 8 ).

Q: f(x) = -(x + 1).

A:

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: Find the x-intercepts of the graph of the function y = – x² – 6x + 3 6土V24 Ox = - 2 6土V48 O x = -2…

A: We have to find the x intercept of given function.

Q: For Exercise, graph the equation. Slx| + 1 for x 1 уз

A:

Q: Find the equation of the line tangent to the graph of f(x)=5x^{3}+6x^{2}-6x-3

A: This question is related to functions, We will solve it using given information.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

A:

Q: Use the graph of f(x) → 3x² to obtain the graph of h(x) =: 2.

A: Given :      f(x) = 3x2       h(x) = 1/3 x2

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: Q3, sketch the graph of Hhe function y= x-4x +3

A:

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: . The x-coordinate of the vertex of f(x) = ax2 + bx + c,a ≠ 0, is_________

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Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

Q: What is the easiest way to graph f(x)=1/1+e1/x?

A: Choose the some values of x and then find the values of f(x) for corresponding x values.

Q: The x-coordinate of the vertex of f(x) = ax2 + bx + c, a ≠ 0, is ________.

A: For the standard form of a parabola:  fx=ax2+bx+c If a>0, the parabola opens up and the vertex…

Q: Find an equation for the graph sketched below: 8- 7- 2- -5 4 -3 -2 - i 2 3 4 5 -2- -7 -8- f(x) =

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Q: Write the equation of the line tangent to the graph of f (x) = -3x² + 5x + 1 at x = 1 and use it to…

A: We have to find the tangent line equation and also we have to approximate f(1.2).

Q: Match each equation with its graph in a–f.; z2 - y2 - x2 = 1

A: Given: z2−y2−x2=1

Q: Suppose that f(x)=6x-1 and g(x) = -3x+8   Graph y = f(x) and y = g(x) and find the point that…

A: At first we draw the graph by calculating the coordinate then the intersection of the two graph is…

Q: Graph both f(x)=(1/3)^x and g(x)=2 on the same coordinate system and use the graph to solve…

A: Given functions are fx=13x,gx=2. Graph the above function as shown below. From the above figure,…

Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = 2x3 – 18x?

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.