(-x² – 2x+3 if x<1 f(x)= x-1 if x>1 a. Sketch the graph of f(x)

Q: Sketch the graph of y = f(x + 2) - 1, where f(x) = x 2 for -2 ≤ X ≤ 2.

A:

Q: Use the graph of f(x) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √x

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

Q: Sketch the graph of f.

A: fx=-4x-22 Since the denominator is zero at x=2, therefore it has the vertical asymptote at x=2.…

Q: Use the graph of f(x) = x3 to obtain the graph of h(x) = (1/2)x3.

A:

Q: Q3/ Sketch the graph of f(x) = x+1

A:

Q: Sketch the graph of f (x) = (x - 2)4 - 1.

A: Given equation: fx=x-24-1

Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: (3x + 1 if x< 1 if x21 Sketch the graph of f(x) = 3

A:

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.

A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…

Q: Sketch the graph of f.

A: fx=3x-4 Since denominator is zero at x=4, therefore vertical asymptote is x=4. Since the degree of…

Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

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: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: Sketch the graph of f (x) = 1/6x3 - 3/2x2 + 5x + 1.

A: To Sketch the graph of function f(x)=16x3-32x2+5x+1

Q: Sketch the graph of f (x) = 1/2x2 - 4x + 7.

A: fx=12x2-4x+7

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: How does the graph of f(x)=(x-9)'-3 Compare to the parent function gx) = x". |

A: Given, f(x)=(x-9)4-3 g(x)=x4

Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: Use the graph of f(x) → 3x² to obtain the graph of h(x) =: 2.

A: Given :      f(x) = 3x2       h(x) = 1/3 x2

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: 1. Sketch the graph of f(x) = -x²(2x + 5)*(x – 3)4.

A: Given f(x)=-x2 (2x+5)3 (x-3)4

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

A:

Q: Determine the point(s) at which the graph of -7x f(x) = 2x - 1

A: Given function is: fx=-7x2x-1 Differentiating f(x) with respect to x we get,…

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

A: Use the graph of f(x) = |x | to obtain the graph of g(x) = 2 |x |.

Q: Sketch the graph of f(x) = 18(x – 3)(x – 1)2/3 using the formulas 30(x – 2) 20(x – 2) (x – 1)4/3…

A:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

A:

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y =…

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

A:

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: How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

A: Because the 2 was multiplied with f(x), so f(x) will stretch vertically by a factor of 2.  Because…

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

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Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

A:

Q: Consider the graph of f(x) = 2x-1.

A:

Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

A:

Q: The graph of f(x)=x^2 was transformed to create the graph of g(x)=f(x)-9. Which statement about the…

A: I have provided solution in step 2.

Q: Sketch the graph of f.

A: f(x)=4x-12x+3y=4x-12x+3to obtain  coordinates put x=0y=4x-12x+3y=4(0)-12(0)+3y=-13put…

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: (-x² +1 if f (x)={ 2x+1 if 01 Sketch the graph of f.

A: To plot the graph first we need to identify the function y = f(x) if the function is parabola, line…

Q: Sketch the graph of f.

A: A function can be graphed by plotting some points on the function and then joining them with a…

Q: The graphs of f (x) = 2" and g(x) = 3"- are shown. %3D

A: According to logarithm formula .

Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?

A:

Q: the graph of f(x)=x^2 is transformed to create the graph of g(x)=f(x)-9

A: Use downward shift of graph

Q: Sketch the graph of the function. 4x +2, 4x2-1, -1 1 xs-1 k(x)

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.