i) lim f(x) X-2* a) -2 3 2 2 f(x) 4 ii) lim f(x) X→2 b) iii) limf (x) x -2

Q: Construct a table and graph for the function y = 7.5x for 0 <= x <=40

A: Given equation is y=7.5x in the interval 0≤x≤40. List the table value for the above equation. x…

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: 7. Plot the graph of the following functions. x-3 a) y = x+2 b) y = (x+2)(10x-30) 5x-15

A: 7) (a) Given function is the following :                  , Noted that curve passes through and  .…

Q: (d) lim f(x X →+00

A:

Q: Identify the graphs (a)–(d) (see attached) in which y is a function of x.

A: We have the graph,

Q: Match the functions with one of the graphs below. 1,0 1.0 A 1.0 1,0 D 1. f(x) = -x +3 2. f(x) = -(x…

A: let the parent function , gx=x4

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: B A f(x) = 4(1.25)* ef(x) = 2(0.9) ef(x) = 2(1.62) e f(x) = 2(1.25)* ef(x) = 2(0.69)* Of(x) =…

A: Consider the figure

Q: -10 -5 A) f(x) = 4-X 10- 5 +++> 10 X B) f(x) = -4-X C) f(x) = -4x ute the exact value of the…

A:

Q: -1 if x < -1 2. f(x) = 3x +2_if |x|<1 7-2x if x ≥ 1

A: Function

Q: 15. Match the function with its graph (labeled I–VI). Give reasons for your choices. (a) f(x, y) =…

A: All these graphs, I have plotted in MATLAB.  Which explains that the matching is  a-VI b-V c-I d-IV…

Q: List the domain and range of the following function. 10 Ty (0,1) :10- 10 -10

A:

Q: 28. (A) (B) lim, g(x) (D) g(−2) _lim_g(x) (C) lim g(x) (E) Is g continuous at x = -2? Explain.

A: Topic - Limits of a function

Q: 9. Sketch the graph of the function y = Va + 2 and determine the domain and range.

A: We have to draw the graph

Q: Identify the graph representing the function f(x) = [2x] from R to R.

A:

Q: 2) -10 -5 10- -10- A) f(x) = 3-X 5 10 X B) f(x) = -3X C) f(x) = 3x D) f(x) = -3-X

A: Here a graph of a function is given on the interval   .

Q: Prove that lim 1-cos t t-0 = 0 by completing the following the indicated process.

A: Given,            limt→01-costt=0To find : Prove the given limit by the given indicated process.

Q: 10. Describes all the features of each function below. The explain how each function was graphed…

A: Graph of function

Q: 6. Indicate verbally how the graph of each function relates to the graph of one of the six basic…

A: Definitions:

Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

A: Explanation of the answer is as follows