Graph the function. f(x) = -x+3 if x<2 %3D 2x-3 ifx22

Q: Find the graph of the function y=x^3-3x^2+2x

A: Explanation of the answer is as follows

Q: Graph f (x) = x – 3.

A: Given fx = 12x -3  We have to graph the above function

Q: Use the graph of y=f(x) to answer the following. 3+ 16 -2 -1 -2- -3-

A: we can find the values of 'x' for f(x) with the help of the graph.

Q: graph f(x)=(x-3)^2

A: To graph f(x)=(x-3)2.

Q: Graph f (x)=Vx-1.

A: To graph the given function.  f(x) = √(x-1).

Q: Graph: f(x) = 3x.

A:

Q: Find the profit function in terms of x p=250-x/50 C(x)=20,000+40x

A:

Q: Find the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c.…

A: We need to find the slope of given function at x=3

Q: Find the smallest solution to f(x) = 3|x - 5| =9

A: Given,         f(x)=3|x-5|=9

Q: The function that has an x-intercept of -2 and a y-intercept of -2/3

A: We can find the function as below

Q: Graph the linear function f(x) = - 2x/3.

A:

Q: Graph: f(x) = (3x - 1)/(x - 1).

A: To find the vertical asymptote we set the denominator equal to 0. So, x-1=0 or x=1 To find the…

Q: snip

A: Given function is fx=ax2+bx+c, where a≠0. To find the x-coordinate of the vertex. Solution: Vertex…

Q: D) The x-intercept of the graph of f is -4.

A: Given that: The two points ( - 4, 0 ) and ( 2, - 8 ).

Q: Consider the function p(x) = 3x +x - 5x and the graph of y = m(x) below.

A: In the question it is asked to calculate the roots of p(x)=3x3+x2-5x and the graph m(x) given in…

Q: The graph below is y = f{x). 3 -1 -2 -3+ 2.

A: (a) Consider from the graph, The min fx in the interval -3,3 is at x=2, f2 =-2 . So min fx =-2. At…

Q: what is the end behavior of the graph f (x) = -0.5x^2 - 3x -4

A:

Q: What is the axis of symmetry for the function y = -3x² – 4? A. x = -3 B. x = -4 C. x = 4 D. x = 0 E.…

A: For one of the standard form of the parabola  y=ax2+bx+c The axis of symmetry is at x=-b2a.

Q: snip

A: Given the function y=fx and its x-intercepts are -5 and 3 then factors of function would be -5 and 3…

Q: Graph the function for the given domain. y=x2-3 D3,-2,-1,0, 1}

A:

Q: Graph the function. 3x f(x) = (x- 4)(x+ 4)

A:

Q: Find the range for the function x²+y²=4

A:

Q: Give the maximum possible number of turning points of the graph of the given function. f(x) = 3x* –…

A: Here we have to find the number of turning points for the given function.

Q: Graph the function. for -4 <x<-2 for -2 sx<3 5) m(x) = {x V -3 for x23 -10 4 4

A:

Q: Graph the function for the given domain. y =x2-2 D-2-1,0,1, 2)

A:

Q: Write the equation of the function where f(x) = |x| has been reflected through the r-axis, shrunk…

A: The given function is f(x)=|x|f(x) is reflected through the x-axis.So the new function is:…

Q: if f(x)= x2-3x-2 which graph could represent f(x)?

A: The given function is fx=x2-3x-2. Draw the graph of the given function. Here we use quadratic…

Q: For Exercise, graph the function. x² + 2x + 1 |k(x) =

A: We find the vertical asymptote by setting the denominator equal to 0.  So, x=0 is a vertical…

Q: The graph of f(x) = x2_______ to the left and_______ to the right.

A: The graph of f(x) = x2_______ to the left and_______ to the right.

Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: Graph the function. ​f(x)=−5x

A: The given function is f(x)=-5x

Q: Given the functions )-x-4 and gx)-x-1, a graph of the combined function y- most likely resembles a)…

A:

Q: (b) y 4. -2 9%= -2 4 -6 -8f y =

A:

Q: m(x) = x(x – 2)(x + 1)(x – 4) How many zeros does the function have? Even or Odd? Positive or…

A:

Q: Given the graph below, solve f(x) > g(x) -5 -4 -3/-2 -1 F-1 -2 -3 -4 -5+ of

A: According to the given information, Consider the given graph:

Q: Graph: f(x) =(5x + 1)/(x - 1).

A: To graph: fx=5x+1x-1

Q: Graph: f(x) = 3x

A: Concept;   The calculus helps in understanding the changes between values that are related by a…

Q: Graph the function g (x) = -3x-2.

A:

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

Q: Calculate the values of x for which the function y = -3x? + 4x + 2 is strictly decreasing.

A:

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Graph f(x) = V(x – 1)² by hand.

A: Graph of the function is the continuous line representing value of y corresponding to each value of…

Q: Suppose that the x-intercepts of the graph of y = f(x) are - 5 and 3.(a) What are the x-intercepts…

A: Given: x-intercepts of the graph  y=f(x) are -5 and 3

Q: Find the vertex of the graph. f(x) = −x2 + 6x + 1

A:

Q: Graph the function. f(x)= 2 В. O A.

A: Here we have to graph the function f(x)=6x2

Q: The slope of the graph of the function y = 2x at (32,8) is %3D Tuno n mplifGed fraction

A:

Q: Draw the graph of f(x)=(1/6)x+2

A: Given :

Q: Draw the graph of the function y = 3x2 +1

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.