3 if a < - 1 Sketch a graph of f(x) - 2x +1 if -1 < x < 2 %3D | -1 if x> 2 5- -5 -4 -3 -2 -1 -1 4 -2 -3 -4 -5- Clear All Draw: 3.

Q: etch a graph of f(x) = 4 -3 -2 -1 5 4 3 2- 1 -1 -2 -3 -4 -5 if x 2 1 2 3

A: Topic:- function

Q: 8 The graph of function y=f(x) has a horizontal asymptote of y = 5. (5 Puan) f (x) 5- 3e-4x false…

A: This is true. I have drawn a graph using desmos graphing calculator, where you can see as values of…

Q: 2x + 6 if z 2

A: Consider the given function, For the interval x ≤ -3 it is the line f(x) = y = 2x + 6. To draw a…

Q: 0.5x + 7 if x 4 5- 4 -8 -7 -6 -5 4 -3 -2 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -6 -7 |-8+ Clear All Draw:

A:

Q: 2x 4 - Draw a graph of f(x) by first placing the horizontal and vertical asymptotes, then plotting…

A:

Q: 2x+3 if x<-1 Graph f(x) = -2 if -1<x<2 on the graph below. 1 -2x if x22 y 5. 4- 3 2- 2 -5 -3 -2 -1…

A:

Q: graph... f(x) = 2/3 |x-2|-8. show atleast 5 points for the graph.

A: The given function is: f(x)=23|x-2|-8...(1)

Q: 2x + 5 if z 1 8 7- 5- 4+ 3- 2+ 8 -7 -6 -5 -4 -3 -2 -1, i 2 3 4 5 6 7 8 -2- -3- -4- -5- -6- -7 -8

A:

Q: -3x -12x-4 f(x) = x+2 Start by drawing the asymptotes. Then plot two points on each plece of the…

A:

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: Plot the points of the graph of f(x)=-(x-5)^2+5 that correspond to x-values of 3 and 4. Then plot…

A: Given that: The function f(x) = - (x - 5) 2 + 5 .

Q: - 2x – 4 if 4 -8 -7 -6 -5 -4 -3 -2 -!, 3 4 6 -2 -4 -5- -7 -8- Clear All Draw: 2. 4-

A: The given function isf(x)=-2x-4if x≤-22if -2&lt;x≤42x-7if x&gt;4

Q: 4. Determine the vertical asymptote(s). x'+5x-7 а. У - х*-3х- 28 x³+4x³ -4x+6 b. f(x) - * x'+2x²…

A:

Q: Sketch a graph of f(x) : -3 if a 2 5- 4 2 5 4 -3 -2 -1 1 2 3 4 -2 -3 -5-

A: For x≤ -1 , y is fixed at -3  For x&gt;2 , y is fixex at 3  For -1&lt;x≤2 , y=x  For this, we make a…

Q: (a) Graph f (x) =x+2 for x 0. x+2 for x 0

A: 1.  Graph fx = x+2, for x≤0

Q: 1.5x +6 if x 2 7. 3- -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 8 -2 -3- -5 -6- -7 Note: Be sure to…

A: Given: Functions

Q: 1.5x + 5 if x <- 2 Sketch a graph of f(x) : 6. if -2 <x < 2 -0.5x +7 if x 2

A: Here a function is Given, we have to sketch the graph of the given function. We have to identify the…

Q: - 3 if x 1 5- 4 -5 -4 -3 -2 2 -1 -1 -2 -3 -4 -5 Clear All Draw:

A: We have to draw the graph of given piecewise function.

Q: -1 if a 1 5+ 3 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5+ Clear All Draw:

A:

Q: - 2x 4 if x 1 7- 6- 5- 4- -8-7 -6 -5 -4 -3 -2 6. -2 -4- -5 -6 -7- -8- Clear All Draw: 2.

A:

Q: Suppose (1,5) is a point on the graph of y=f(x). Name the point on the graph of y=3f(-4x-4)-2. SHOW…

A: our objective is to name the point on the graph of y=3f(-4x-4)-2.

Q: 2x 4 if x 1 구 6- 5- 4 -8-7 -6 -5 -4 -3 -2 -I 2 5 6 -2 -3 -4- -5 -6- -7- Clear All Draw: 2]

A:

Q: 3 if x 1 5t 4 -5 -4 -3 -2 -1 2 3 4 -2 -3 -4 -5+ Clear All Draw: Note: Be sure to include closed or…

A: It is required to plot the given piece wise function.

Q: Sketch a graph of f(x) 5 -5 = 4 3 -2 -1 12 1 -4 -3 3 Clear All Draw: Note: Be sure to include closed…

A:

Q: -2 - 5 if r 4 7 4- 3. -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8 -2 -3 -4 -5 -7 2.

A:

Q: 3 if z1 Sketch a graph of f(x) 5 4 -3 -2 -1 3 -2 -3 -4 -5 Clear All Draw: Note: Be sure to include…

A:

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

Q: 3 if a 2

A: From the basics of Limits and Continuous

Q: SOLVE FOR ALL ASYMPTOTE  IF EXIST and graph f(x) = (x^3  -27)/(x^2-9)

A: The given function is fx=x3-27x2-9. Obtain the vertical asymptotes as follows: Take the denominator…

Q: if r 2 4 -5 -4 3 -2 -1 3 4 -2 -3- -4 -5+ Clear All Draw:

A:

Q: -1.5x 6 if r 2 Note: Be sure to include closed or open dots, but only at breaks in the graph. 5- -8…

A: Below is the graph

Q: Sketch a graph of f(x) if r-2 if -2 4

A: Given,  f(x)=2x+6if x≤-20if -2&lt;x≤41.5x-6if x&gt;4

Q: -0.5x - 4 if x 2 -7- 6- -2- -8-7 -6 -5 43 -2- 2 3 6 7 -2 -3- -6- -8- Clear All Draw:

A: The given function defines a piecewise defined function.

Q: 3 if a 2 4- 2 -5 -4 -3 -2 -1 2 4 5 -2 -3 -4 -5 3.

A:

Q: (x2 – 6 if x < 1 12x – 5 if x 21' 8) Graph: f(x) Must show your work by creating a table of values.

A: To draw the graph of the given function first we find the function values corresponding to some x…

Q: -x – 5 if æ 4 Sketch a graph of f(x) = 1 %3D 6+ 4+ -8 -7 -6 -5 -4 -3 -2 -1 -2 -4 -5- -6- -7-

A:

Q: Graph f(x) = 2x^3-3x^2-36x. Label any/all extrema and any/all points of inflection

A: For inflection point second derivative must be zero

Q: if a 1 -4 -3 -2 - 4 -2 -4 -5 Clear All Draw: Note: Be sure to include closed or open dots, but only…

A:

Q: 3 if x 1 5 4 5 -1 -1 -5 -4 -3 -2 2 3 4 -2 -3 -4 -5 Clear All Draw: 2] 2.

A:

Q: 1 if x 2

A: Given the piecewise functionf(x)={1   if x≤-2-x-1  if -2&lt;x≤2-2    if x&gt;2  We need to graph the…

Q: x + 4 if x 1 |

A:

Q: x +2 ()** Draw the graph of f(x) |10 구 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5 6 7 -2 -4 -5

A:

Q: (a) Graph f (x) = -2 x for x 0. -2 x for x <0 (c) Graph r (x) = 2x for x20

A: To Determine: graph  a) fx=-2x  for x&lt;0 b) gx=2x  for x≥0 c) rx=-2x  for x&lt;02x for x≥0…

Q: f(x) = (x + 4)² – 3 - f(-2) Graph f(x) if x <-2

A:

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

A:

Q: -3 if a 2

A: The given function is fx=-3if x≤-22x+1if -2&lt;x≤22if x&gt;2. This means,  The graph of the function…

Q: -5 if a 1

A: The function graph will be as follows

Q: Draw the graph of f(x) = 2-*-3 10+ 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 6 8 9 10 -2 -3 -4 -5 -6 -7…

A:

Q: 6. Graph f(x) = Vx + 2-3 4- 3- 2- 1- -3 -1- -3- 4- -5+ -6+

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.