IV. Let ƒ be the function defined below. |z² + 3x| Discuss the continuity of f at 1 = -3, r = 0 and r = 1. If discontinuous, give the type if I<0,x± -3 I+3 f(x) = 0 1. of discontinuity. V. Consider the graph of y = f(x) below. At the following I- coordinates, write whether (A) ƒ is continuous, (B) ƒ

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

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: Let f(x) = 4+x if x < −2 if -2 ≤ x < 2. 6 x - if x ≥ 2 Sketch the graph of f. y 4 SH 3 2 4 2 2 4 2 X

A: ANSWER :​​   I have provided another graph without points, so it'll  be clearly visible .Here it is…

Q: -2x+6 Consider the function f (x) = x3+2x2-15x

A: Here we use basic definition of function.

Q: Construct a function that passes through the origin with a constant slope of 1, with removable…

A:

Q: Draw a graph of a function that satisfies the following p 1) f(x) 0 for x>0 3) f(0) = 0 %3D 4) f is…

A: Given description of function 1) f(x)&lt;0 for x&lt;0 2) f(x)&gt;0 for x&gt;0 3) f(0)=0 4) f is…

Q: 4. Let f(x)= = x-1 x²-1' (i) State the domain of f. (ii) At which values of x does f have a…

A: Detailed solutions are given below.

Q: 9 Sketch a graph that has the following characteristics: • The function is odd. • The function is…

A: consider the function f(x)=x(x-3)(x+3). f(x) is an odd function as f(-x)=(-x)(-x-3)(-x+3)…

Q: 2х -1 5. Let f(x)= and g(x)=÷. x-2 Compute (fog)(x) and determine the domain in interval notation.

A: Given: f(x)=2x−1x−2g(x)=1x(fog)(x)=?Domain(fog(x))=?

Q: 1. Graph the function f(x) = -sec + 3 on the interval -27, 67|. Answer:

A: The function f(x)=-secx4+3 on the interval -2π,6π