Suppose we define a function Blue as follows Blue (s) = 5s+1. Steven is asked to find Blue (s+h). He writes Blue (s+h) = 2s+ 1 +h. His work is incorrect because Steven is asked to find the output of the function Blue when the input is What should Steven have written?

Q: I do not know how to do this problem or even how to start it.

A: Plot the first piece of the given function as follows.

Q: Match the piecewise function with its graph. (2x-1, if x-1 A) B) 8 -6 -4 -2 C) D) -4 -6 -4 E) AB) -6…

A:

Q: If the function y=e^-2x is vertically compressed by a factor of 3, reflected across the y-axis, and…

A:

Q: Graph the function

A:

Q: Graph the piecewise-defined function. x-3 if x55 f(x) = 2 if x>5 Choose the corect graph. OB. Oc. O…

A:

Q: Graph the piecewise-defined function. -1-x if xs2 f(x) = -5+2x if x>2. Choose the correct graph…

A: Graph the given function

Q: Consider the following function. - 2x – 4 if x -2 Step 1 of 3: Identify the general shape and…

A:

Q: I am having trouble finding the right points to graph this function.

A:

Q: Pick the graph of the following function. f(x) = (* +3)(* + 2)(x + 4) -3-2 -4-3 -2 -2 -5 4-3 -2 -1…

A: f(x)=(x+3)(x+2)(x+4) So  -2,-3,-4 are x- intercept

Q: 2. Graph the piecewise function. 3x f(x) = -2x + 3 if-1< x < 4 2 if x 2 4 5 if x s-1 %3D

A: we have to add three different sub graph to make it

Q: Consider the following function. -4x -8 p(x) = { 7 if x -2 Step 2 of 3: Identify the general shape…

A:

Q: Suppose that the functionh is defined as follows. if-1<r50 if 0 <xS1 1 h(x) 2. if 1<x<2 if 2 <x<3 3.…

A: This question is based on linear line graph. On the graph , value of y is not included where open…

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

A:

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given that, f(z) = 15000 + 2000zr

Q: Select the graph of the function. 2x +1 x<0 f(x)= 1-x x20

A:

Q: 3 -x'+8 As x→-0, f(x) → ), and as x→0, f(x) → |

A:

Q: 3) y=-2Vx+ 5 +3

A: We need to find out some value for given function so we draw it on graph

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x)…

A: We need to find inverse function.

Q: The graph of f(x) = 2x is moved 3 units up and 2 units to the right. Which function models the new…

A: f(x) = 2x we know that vertical shifting properties: f(x) = ax let assume f(x) = ax + b we know that…

Q: -6x - 18 if x -3 fy the general shape and direction of the graph of this function on the interval…

A: We are asked to identify the general shape

Q: The graph of f (x) = x² is horizontally stretched by a factor of 2, and then shifted to the left 4…

A: Given, fx=x2

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A:

Q: How would you limit the domain to make this function one to one? f(x) = x² – 5 Your answer will be…

A:

Q: Consider the following function. -5x- 10 ifx -2 Step 2 of 3: ldentify the general shape and…

A: Given function is

Q: Find the point on the graph of the function f (æ) =(x– 7 )4/2 that is closest to the point ( 16, 0).…

A:

Q: (x + 1)² x2– 1 2. At what value of x does the function have an infinite discontinuity?

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: Which of the following graphs represents the function () ه کرد 4 f(x) f(x) 2 2x²+2x-12

A: Given function is fx=x2-4x2x0+2x-12

Q: For this question, enter answers as ordered pairs. Given the function g(n) = (n – 5)(n + 4)(n – 2) -…

A:

Q: Given a function Ax) and g(x) = 3(x – 1), how would the graph of y = (x) compare to the graph of y =…

A:

Q: 7. Graph the piecewise function for for -4<x <-3 - 3 < x <0 T<-4 -4x 13 f(x) = %3D x2-6x 7 for for 0…

A:

Q: The following is the graph of the function f(æ) = { 4+x – x2 if x 2 if –1 < x < 2 3x - -4 0- -5 -10…

A:

Q: Suppose -x+4 if x<1 f(x)= 2x+1 if x21 Graph the function f. Then determine whether or not the…

A: In the question it is asked to sketch the graphs of (f(x)=-x+4 if x&lt;1) and (f(x)=2x+1 if x⩾1) and…

Q: Graph the piecewise-defined function. 3x if - 5sx< - 1 f(x) = . - 3 if - 1sx<0 x² – 3 if Osxs3…

A:

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: f) f(x) = 1-x2

A: fx=11-x2

Q: Sketch the graph of the following piecewise function: -2x – 4, f(x) = } x² – 2, - 2 1 The function…

A: In this question we will use basic of calculus i.e concept of continuity. We will simply draw the…

Q: Draw a machine diagram for the function. f(x)=squr x-2.

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: Draw a machine diagram for the function.

A: To draw a machine diagram for the function                                                fx=3x-2…

Q: Suppose the coordinate (2, -4) is on the function k(x). If h(x) = k(x + 10) + 5, when k (x) is…

A:

Q: Sketch the graph of the function (+) = {2x + 1 ifx>1 if x 1 Sx²

A: Here the given function as fx=x2x≤12x+1x&gt;1 We have to draw graph y=x2 when x is less than or…

Q: Sketch the graphs of the functions. 7. fx) - (x + 2) -I 8. f(x)- 9. (x) - - V+3 10. f(x) - 3x -2…

A: Given function is: f(x) = (x + 2)^2 -  1

Q: Sketch the graph of the following piecewise function: -4 3

A: Given,

Q: Consider the following function. 4 if x - 3 Step 2 of 3: Identify the general shape and direction…

A:

Q: Find the point on the graph of the function f (x) = ( x– 7 )4/2 that is closest to the point ( 16, 0…

A:

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: Compared

A: We will find compare the graphs of the function.

Q: Find the point on the graph of the function that is closest to the given point: f(x)= 2x+8; (0,18)

A: We have given f(x)= 2x+8; (0,18)

Q: Produce a rule for the function whose graph is shown. -5 -4 -3 f(x) = -2 -1 54 4 3- 2 1 1 -2 7 -3-…

A:

Q: Graph the function. f(x) = 2x, for x<0 x+1, for x20 Choose the correct graph below. OA. OB. C. OD.…

A: Solution is given as below:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.