1. Consider the graph of the function f (x). (a) Find all the points where f(x) is discontinuous. (b) What kind of discontinuity is each point?

Q: 2. Explain why the function is discontinuous at the given number a. i. ii. 1 (x-1)² f(x)=--…

A: Definition of Continuity-: A function is said to be continuous if it satisfies the following…

Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: /(x) = x -…

A: Given function is : fx=x4-x3 To find point of inflection f''x is zero Differentiating the above…

Q: LET f(z) –1* and g(x) –1-2. DETERMINE oquations for both (fog(r) and (gof)(z).

A: Given:-              f(x) = x2               g(x) = x - 2

Q: Use the graph of the function f shown to the right to find f(0), f(1), and f(2). CELE f(0) =

A: This question can be solved using the concept of locating points on the graph.

Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: = -cot(x − 1), where 0 ≤ 0 ≤ 2″ f(0) =

A: The function is

Q: 3. Let f(x)=x2+kx and g(x)=x+k . The graphs of f and g intersect at two distinct points. Find the…

A: Simple graph intersecting problem....

Q: 6. For the function f(x) =x +3x? –2 (a) State the domain. (b) Determine y-intercept. (c) ) Determine…

A: Note : As per the authoring guidelines, when multiple subparts are posted, then only first three…

Q: 1. Given the function S(a) = Find (a) all the a and y-intercepts,

A: The solution is given below in the next step: Also in step 3 graph is provided for better…

Q: a. The function f(x) is represented by f(x) = 2x. The linear function g(x) passes through the points…

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Q: Use the graph of the function to find the domain and range of f. (Enter your answers using interval…

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Q: A function f is given. f(x) = Vx + 4 (a) Sketch the graph of f. y y 10 10 - 10 -5 5 10 - 10 -5 10 -5…

A: The graph of a square root function is a curve.

Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

A:

Q: For the function y= f(x) whose graph given below, find f(- 1). Ay 10- 8- 6- 4- 12- -10 -8 -6 -4 -2 2…

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Q: Consider the following graph of f(x) and g(x). State the interval where f(x) > g(x 8- f(x) 4- -6 -5…

A: If y=f(x), then the variable x is called the input of the function, and the variable y is called the…

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: asked to sketch graph of function f(x,y)= 10-4x-5y. The graph is given in x,y,z notation explanation…

A: We have to sketch the function                       Since we can is that it is a linear function in…

Q: 4. If you are given the graphs of two functions, f(x) and g(x), explain how can you determine the…

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Q: Let f(x) = 3x – 10 and g(x) be the function shown in the graph at right. Find the following: 2. a)…

A: f±ga = fa±ga f∘gx = fgx g∘fx = gfx .