if -4 < a < 1 1. Sketch the graph of f(x) = * if 1< a < 6 115 715

Q: Sketch the graph of the following functions and then find the absolute extreme values of each on the…

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: Let f(x) = 4/x. If g(x) is the graph of f(x) shifted down 3 units and left 3 units, write a formula…

A:

Q: 8. Given the graph of f(x), sketch a plausible graph of f'(x). Provide an explanation for the graph…

A:

Q: Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals…

A: as we can see from the graph, the function is increasing on the interval

Q: Consider the graph of f(x) given below: 6 f(x>

A: Given,

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: A function is increasing in a range if the slope of the tangent is Positive. This can also be…

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A:

Q: Sketch a graph of f(x)={ 1 if x1}. Be sure to include open and closed portions of the graph.

A: Given : f(x)={  1,                 if x≤-1              -2x-1      if -1&lt;x≤1                -2…

Q: 23. List the sequence of steps required to graph the function f (x) = -(x - 4)2 – 6 %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sketch a graph of a function ƒ with the following propertie. ƒ' &lt; 0 and ƒ" &lt; 0, for x &lt; 3ƒ'…

A: Since f’ &lt; 0, this means the function is decreasing for all values of x. Since f’’ &lt; 0 for x…

Q: Given the graph below, what can you say about the function at x = -2? -10 Not Continuous Continuous

A:

Q: 6. Sketch the graph of the following piecewise function by plotting a few points. Be sure to show…

A:

Q: The graph below is the function f(x) 4 2 -5 -4 -3 -2 -1 1/2 3 4 5 -2 -3 -4- -5+ lim f(x) = f(0) =

A:

Q: 10 +→ x 10 -10 -4 -2 2 6 -2 10

A:

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is Select one: O None

A:

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: given: the graph of a function. by looking at the graph we can see that the function is increasing…

Q: 6. For the function h whose graph is given, state the value of each quantity, if it exists. If it…

A: g. For limx→0hx From the graph we can see  limx→0-hx=1 left hand limt at zero. limx→0+hx=-1 right…

Q: 11. Choose the correct graph of the piecewise function and also find f(-1). (-) { x + 3, x -1 O…

A:

Q: Use the graph to determine : a. intervals on which the function is increasing, if any. b. intervals…

A: Solution -    The function is said to be increasing in an interval where the it's value increases…

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

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: 3. Graph the function well. 0 and create a table of values for this function as

A:

Q: on a piece of paper graph f(x) 2x if x <3…

A: Y = 2X      IF X&lt;3 Y = 4        IF X&gt;3 PLOT THE GRAPH,

Q: Let f(x)=3√x. If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

A:

Q: Define Į æ² – 5 2x + 1 - 5 if x 1 f(x) = Is there an open circle or a hole on the graph of this…

A: for this function, the value of x should be less than 1  which means there can be a hole at x=1 so…

Q: Below is the graph of a function f(x). On the same set of axes, graph f-1(x).

A: Take the square box in graph has one unit. Then, given f(x) plot becomes…

Q: Let f(x) = 3 square root of x. If g(x) is the graph of f(x) shifted up 1 units and left 3 units,…

A:

Q: Let f(x)=2√x If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

A: To Determine: If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

Q: Suppose a function f(x) has the following graph: 4 2- -4 -3 -2 -1 1 2. 3 4 -1- -2- -3- -4 Write a…

A:

Q: Sketch a graph of a function ƒ with the following propertie. ƒ' &lt; 0 and ƒ" &lt; 0, for x &lt;…

A: Given that, ƒ' &lt; 0 and ƒ" &lt; 0, for x &lt; -1ƒ' &lt; 0 and ƒ" &gt; 0, for -1 &lt; x &lt; 2ƒ'…

Q: Given the graph of f(x) = /x as shown, graph the function – f(x) + 2. 7- 5- 4. 3- 24 +. 56기 7 6-5 -4…

A:

Q: Sketch the graph of the following function and find any discontinuities x2 – 1 f(x) = x - 1

A: fx=x2-1x-1 Since the value of numerator and denominator is zero when x=1, therefore the graph must…

Q: If the graph of f(x) is given by Then the graph of 1-f(x+3) is Select one: O None

A: Please see the explanation below

Q: Use the graph to determine : a. intervals on which the function is increasing, if any. b. intervals…

A: From the given graph, it is observed that the domain of the function is [0, ∞) and the range of the…

Q: Use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals…

A: Consider the graph and find the critical numbers of the function, when f ' (x)= 0 and undefined.…

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: Given graph: Constant function:  A function is constant on an interval if for any x1 and x2 in the…

Q: 8. Use the graph of the pieces use function h(x) below to fill in the blanks in the set of function…

A: We need to fill in the blanks.

Q: Which of the following describes the end behavior of the graph of the function f (x) = 2x³? As x →…

A:

Q: 7. A line x = 4 is a asymptote for the graph of a function f(x) , if

A: Vertical asymptotes of a function is the value of the variable for which the function does not…

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: Draw the graph of the following function: 3 when -3<x<-1 f(x)= 3x-3 when 0<xsl — 6х -3 when -1<x<0…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: x + 4 if x 1 |

A:

Q: Show that the graph of f(x)= x6+4 is symmetric with respect to the y-axis without actually drawing…

A: Given: f(x) = x6+4 Graph of a function f(x) is symmetric with respect to y-axis is f-x = fx

Q: Let f(x) = 2/ %3D If g(x) is the graph of f(x) shifted down 3 units and left 2 units, write a…

A: Given: f(x)=2x

Q: Draw the graph, of the functions determined by the given formulas 1. f(x) = 4-x? %3D

A: As per our guidelines we are supposed to answer only first question please repost other parts in the…

Q: Use the graph to determine : a. intervals on which the function is increasing, if any. b. intervals…

A:

Q: en the graph of the function f-

A: Given function is: fx=3x2-4x+1x-1 ; if x≠12 ; if x=1 Then we get for x≠1,…

Q: Given the graph of f (x) below, choose the intervals where f (x) is continuous. 3.- 92 4-

A:

Q: х — 6 if x 1 | 7

A: GIven:f(x)=-x-6   if x≤-2  -3         if -2&lt;x≤1x-4      if x&gt;1To sketch the above piecewise…

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.