Q-2 -: Sketch the graph of the following piecewise function x-3 if x ≥ 3 f(x) = -1 if -3

Q: A culture of bacteria in a laboratory is subjected to a substance to decrease the number of bacteria…

A: Set e-t2+5t+3 equal to 100 and then solve for -t2+5t+3. e-t2+5t+3=100ln e-t2+5t+3=ln 100…

Q: Q3. Sketch the graph of the function and find domain and range f(x) = 2x² – x+

A: F(x)=2x2-x4

Q: Let f(x) = -6x3/4 and g(x) = 3x1/4. Find each new function and evaluate at x = 4 4. ) (x)

A: When the function gx is defined at a certain point, for another function fx, fgx is defined. By the…

Q: x3+1 (1) (3) 4- V (2) 2x2 +3x + 4 x2-1

A:

Q: - 3x - 4 f(x) = { x² - 2 2x − 3 - if x < -1 if −1 < x < 1 if x ≥ 1

A: To graph the following function.

Q: The green line is f(x) and the red line is g(x). Please solve each function composition.

A:

Q: Graph the functions on the same screen using the given viewing rectangle. Viewing rectangle [−8, 8]…

A:

Q: Find the value of the graph of f(x) = -x² + 4 between x = -5 and x = 2

A:

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

A:

Q: f(x) = 5-x² 3 1 x - 3 if x -2

A:

Q: Consider the graph of the following function. f(x) 5+ 4- 3- A- -5 -4 -3 -2 -1 0 (-∞0,00) O(-3,4) O…

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: a) ƒ' (x) = = 1 for all 0 ≤ x ≤ 4. b) f'(x) > 0 for all 0 ≤ x ≤ 4. c) f' (3) = 0 d) f' (3) = 1 > > >

A:

Q: If the function is f(x) =3x+5 and the domains are -1, 0,4,7, what's the range

A: Given function is f(x)=3x+5 given domains are -1,0,4,7 find the range of the function

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, =&gt; f-1(y)=x

Q: For the piecewise function, find the values h(-10), h(0), h(1), and h(6). -5x-13, for x < -7 h(x) =…

A: Here we have to find value of h(x) for given x.

Q: 3x Determine the domain of the function h(x) – x(x² - 25) {si+x1z} O

A:

Q: B/Find the oblique asymptote of the function f(x) -3x²+2

A: The function is f(x)=-3x2+2x-1

Q: 4 5 -7 -6 -5 -4 3 -2 -1 0 1 2 --1- -2 --3 --4- --5- --6- [ Select ] a = b = [ [ Select ] [ Select ]…

A: Topic:- geometry

Q: find the domain and range of the given function 1 f(x) = Ix3 + 19x2 - 20xl

A: The domain of a function f(x) is the values of x for which the function is defined. That is the…