f(x) = 0 x = 0. At what value of x is the function given above, discontinuous? Ox=3 x+2 x² −1 8 02=-3 if x < 0 if 0 ≤ x ≤ 3 if x > 3

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: 1+x is even, odd, or neither. Show your work. |x| 2. Determine whether the function fx) = %3D

A:

Q: Find the points of discontinuity for the function, f (x) = V6x + 3. Identify the type of…

A: Given function is f(x)=√(6x+3)

Q: f(x) = 2ax - bx² + 2ax – b %3D

A: fx=2ax3-bx2+2ax-b Now, simplify the above function, fx=x22ax-b+2ax-b=2ax-bx2+1

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: for the given value of x. g Find (x) and state the domain. Then evaluate 2/5 4. f(x) = x2,g(x) =-3x;…

A: fx=x32,   gx=-3x25  :x=1

Q: Consider the following piecewise-defined function. f(x) = | −5x − 6 -3x² + x-1 if x -1 Step 1 of 3:…

A:

Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

A:

Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

A:

Q: 1 For what value of x does the function g(x) = 3x³ – 2x² concave downward? A. x ≥ −1 B. x 20 D. x ≤…

A: Given function is g(x)=13x3-2x2. Differentiating with respect to x we get, g'(x)=ddx(13x3-2x2) or,…

Q: If f(-x) = -f(x), then the function is   A. neither B. odd C. even D. both

A: If   Odd function :- if f(-x) = - f(x), then function is odd Even function :- If f(-x) = f(x), then…

Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

A:

Q: The number of females in law continues to show steady increases. The number of female lawyers in a…

A: a. It is exponential function. b. F(30) =&gt;F(30)= .834* x^1.297               =.834*30^1.297…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

A: F(X)=(X-4)2/5 F(x =2/5 (x-4)2/5-1

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

A:

Q: If f(x) = 2x2+x +1, and g(x)=x is an identity function then (f + g)(1) = O a. - 4 O b. -8 O C. 4 O…

A:

Q: h(x) = 3x5 – 20x³ + 50x + 2e* + 3 secx

A: We know the derivatives:ddx xn = nxn-1ddxex = exddxsecx = secx.tanx

Q: 3. Determine the monotonicity of the following function: f(x) = -x3 – 3x + 6

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Q: If h(x) 6.x + 1, find h(). Is h a one-to-one function?

A: If h(x) = 6x +1. To find h(1/2). Also, to check whether h is a one-to-one function.