10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x<0 if x > 0 |

Q: True or false: The graph of the reciprocal function f(x) =1/x has a break and is composed of two…

A:

Q: 7/8 For what value of x does the graph of f(x) = x8e* have a horizontal tangent?

A:

Q: 11) Sketch the graph of the piecewise function below. |x + 8| + 3 f(x) = -(x-1)² -3 -5sx< 3 2/3x + 2…

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Q: Please I want solution of question 4 with step by step. Many Thanks

A:

Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: The daily cost (in dollars) of producing x units of a certain product is given by the function C(x)…

A: The daily cost (in dollars) of producing x units of a certain product is given by the function C(x)…

Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: 1. Let f(x) = -(x - 3)2 + 1. Find the vertex. Give the range of the function.

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Q: examine the function for extreme: 1.   f(x)=x+x+2 2.   y=x3+x2+x+5 maxima and minima

A: # the first function seems to have some error. We are entitled to answer one question. Please…

Q: Suppose the function y = f(x) is increasing on the interval (−1, 5).• Over what interval is the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the value of the constant bl that makes the following function continuous on (-∞, ∞). if x 6|…

A:

Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0&lt;x&lt;2-x , if x≥2 To draw the graph .

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Find the location of the indicated absolute extremum for the function. Minimum 4 4 3 -1 -2- X = -3 Ó…

A:

Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

A: Let at any time 't', the distance of car A from the intersection is x, and the distance of car B…

Q: Find k such that the line is tangent to the graph of the function.…

A: To Determine: Find k such that the line is tangent to the graph of the function.…

Q: 2. f(x) = 3[ x]

A:

Q: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: f(x) = x – !

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

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Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

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Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: 7. Graph the piecewise function for for -4<x <-3 - 3 < x <0 T<-4 -4x 13 f(x) = %3D x2-6x 7 for for 0…

A:

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

A:

Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Suppose the function below describes a physical situation that makes sense only for numbers between…

A:

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: 6. Graph the piecewise defined function. 1x+4] if x2

A: We will make a table for each piece of the function y=|x+4| , x &lt; -3 x -3 -4 -5 -6 y 1 0 1 2…

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

A:

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

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Q: : Find the critical points of the function f(x) = 5æ² – 10x. -

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Q: f(x) =Vx+4 entify the minimum values of the function above when 5 < x 12.

A: Given query is to find the minimum value of the function for the given interval.

Q: 14. Show that f(x) x+4 never intersects its horizontal asymptote. %D 3x+1

A:

Q: Use the graph of the greatest integer function y =⌊x⌋

A:

Q: Use the graph of the greatest integer function y =⌊x⌋

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: 7- -6 -5 -2 4 -5 -6 -7

A:

Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: List the points in the graph in the interval - 1<x<6 at which the function is not differentiable. Ay…

A: We have to find the differentiablity at different points of graphs For not differentiablity the…

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: 22) Assuming this function never crosses its horizontal asymptote, state the domain and range o…

A: Solve the function

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Q: Find the open intervals on which the function is increasing or decreasing.       y = x√(16 − x2)

A: The given function is , y=x16-x2

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.