The functionf:A Bis called one-.1 * to-one, if V x_1 , x_2EA and a. f(x_1)=f(x_2)→X_1#X_2. . b. f(x_1 )=f(x_2))→X_1=x_2O c. f(x_1 )=f(x_2) →x_1=x_2. O d. f(x_1 )=f(x_2) » X_1=x_2. O

Q: b) Let c be any constant. Show that the function f(x) = x° +x +c_cannot have two zeros. (Use the…

A: Given that function f(x)=x3+x+c where c be any constant. For finding the real root of function we…

Q: Show that the function is harmonic and analytic w=3Z² + 4iZ

A:

Q: find f(2021) if function f satisfies following the function f(1)=1 and f(x+y)= f(x)+f(y)

A: we have given f(x+y) =f(x) +f(y) and f(1) =1. We have to find f(2021)

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

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: f(x+h) = √x+htt' - √XTY'

A: Given:- fx+h-fxh=x+h+4-x+4h

Q: For the function f(x) = 5x° -4x +2x + 3, findf "(x). Then find f"(0) and f"(4). f"(x) = Select the…

A: Double derivative

Q: Determine whether the statement " If f(x0, y0) = f(x1, y1), then x0 = x1 and y0 = y1. " ,is true or…

A: Given, the statement “if f(x0, y0) = f(x1, y1), then x0 = x1 and y0 = y1’’. We have to determine…

Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)>0 means f(x) is positive for the   interval  range…

Q: het 5) Evaluate the Peicewise function if XLO if OLXL3 if x73 x+2. f(-5) = f(2) = %3D %3D

A:

Q: Use the function f(x) = 5x – 6 to compute and expand and simplify the following. a. f(-) = b. f(-6a)…

A:

Q: Determine the end (long run) behavior for the function below: f(x) = x - 3x³ + x – 1 Select the…

A:

Q: Determine which of the following functions are valid PSDS (i) w6 + 302 +3 (i) exp[- (0 – 1)2]

A:

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

A:

Q: Suppose the point (-3, 10) lies on y = f(x) and the point (2, -3) lie point on the function y =…

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

A:

Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: Rewrite each pair of functions. (g) and g(t), as one composite function, f(g(e)). (If not possible,…

A: To find f(g(t))

Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Given the functions f(x) = ax - 1 and g(x) = bx² + 3x + 5, determine the value of a and b if (g.…

A: Given f(x)=ax-1 and  g(x)=bx2+3x+5 And…

Q: The domain of the function f(x) =D <-20 is x+ 6x + 9 اخترأحد الخيارات a. None O [-5, o]b O (-00,…

A: we have to find the domain for the given function f(x)

Q: Let f(x)=x²-9x +4. Find f( − 1). f(-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.