Suppose that the function f is defined for all real numbers as follows. x²+1 if x<1 f(x) = 2 if x=1 8-3x if x>1 Graph the function f. Then determine whether or not the function is continuous. 12- 10+ 8+ 6- Is the functionf con 2- -12 -10 8. -6 6. 10 12. +2- -4+ -6- -8+ -10- -12- Explanation Check

Q: Suppose that the function fis defined, for all real numbers, as follows. f(x) = x-3 if x -2 Graph…

A:

Q: Which of the following correctly states the interval that the function f(x) = 2x* - x² - 12x² %3D +x…

A: Given:     To determine: intervals in which f(x) is decreasing

Q: for all real nombers, as fllou) -7

A:

Q: B Evaluate the piecewise function f at the given x-values. Write the answer using function notation…

A: In the given graph, the bold line indicates the function. The open circle is not included in the…

Q: Which of the following relations does not represen a function? A. (4, 4), (5, 4), (6, 4)} B. (4, 4),…

A: We will use definition of function to solve this

Q: 4. True or False: The relation {(5, 2), (0,1), (5, –6), (-3, 12)} is a function. O true false

A:

Q: 16 (+4,12) 12 -6 -4 -2. 2. 4. -12 (4,-12). 16 Ise interval notation. This function has domain and…

A: Domain is defined as the set of values of x for which the function is defined. While range is the…

Q: ections: solve each formula f 5. v=;solve for d, t

A: Given relation, v=d/t

Q: Determine the horizontal asymptote of each function. If none exists, state that fact. answer…

A:

Q: f(x) 8 7 5- 4 3 2 -6 -5 -4 -3 -2 -1 2 3 4. 6. 8 9. 10 11 12

A:

Q: Determine the domain of each function. x2 - 25 x² - 4 79. f(x) 80. f(x) x - 5 x + 2 x3 x* + 7 81.…

A: To find the domain: f(x)=x2-25x-5. Solution: We know, a rational function is defined for all real…

Q: Use the graph of the function f shown to the right to answer parts (a)-(n). 4 (-3,3) (a) Find f( -…

A: Refer to the question we need to calculate the value at the provided point with the use of provided…

Q: If (- 2, 3) is a point on the graph of a one-to-one function f,which of the following points is on…

A: Given data: (- 2, 3) is a point on the graph of a one-to-one function f. The objective is to find…

Q: Give an example of a real function that is increasing on the interval (0,2), and decreasing on (2,…

A:

Q: A function f(x) is given by the following set of ordered pairs: {(2,6), (4, 12), (5, 15), (9, 27)}.…

A: The function is represented by the ordered pairs 2, 6, 4, 12, 5, 15, 9, 27. (a) Express fx using…

Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: 1) Use algebraic means to show that x2 + y2 = 8 is not a function. Explain your process. 2)Is there…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.