if a<- 2 -2x 1 if 2 2

Q: Graph f (x) = 3x. Where should the graphs of f (x) = 3x + 2, f (x) = 3x - 3, and f (x) = 3x - 7 be…

A: Consider the given: fx=3xfx=3x+2   Shift 3x up to 2 unitsfx=3x−3   Shift 3x down to 3 unitsfx=3x−7…

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: Is the point (1/2 , - 3/5) on the graph of the function h(x) = (x2 - 1)&gt;(x2 + 1)?

A: The given function is: hx=x2-1x2+1 To check the point (12 ,-35) is on the graph or not, put x=12,…

Q: 2. Graph the following piece-wise function: { 3 f(x) = {x + 2 {-5 if x 2

A:

Q: 52. Let if x 2 | (b) Sketch the graph of g.

A: Domain of g(x) is divided into parts.We have to draw different path for different part of domain.…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: To find the parabola equation in terms of x.

Q: yo Graph the function. x-3 ifx<1 1) f(x) = 1-5 if x 2 1 5-

A:

Q: Suppose that the graph of f(x) = x 4 - x 2 is compressed horizontally by a factor of 2 and then…

A: Whenever a graph is compressed by a factor a, the function of the graph is multiplied by the factor.…

Q: if x 0

A: Topic : Functions

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given the vertex (h, k) = (2,-1) The parabola

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: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

A:

Q: Suppose a friend tells you that the graph of f(x) = x^2-4/x-2 has a vertical asymptote with equation…

A: I have given an answer in step 2.

Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if  x&lt;-13if  x=-1-3if  x&gt;-1

Q: what is the graph of the following function (2x+1)(x+2)/(x-1)(x-3)?  where are it's vertical and…

A: The objective is to draw the graph and find vertical and horizontal assymptote.

Q: If f(x) = 0.5* and g(x) = 0.3* then the graph of f(x) will be the graph of g(x) when x > 0. %3D

A: f(x)=0.5^x g(x)=0.3^x x&gt;0 graph of f(x) will be above the graph of g(x)

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: Discuss the continuity and sketch the graph. x-2 if x1

A: as per our guidelines we can answer only 1 question do kindly repost the remaining questions…

Q: Find an equation for the graph sketched below 7- 4+ -5 -4 -3 -2 -7, 4 -2 -3 -4 -5 9- -7 f(x) = %3D

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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: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: The standard equation of the parabola having vertex at (h, k) is given by, y-k=a(x-h)2

Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: if the point (2,8) is on the graph of f, then f(2) =

A: The point 2,8 is on the graph of f.

Q: Suppose the point (2,4) is on the graph y=f(x). Find a point on the graph of the given function.…

A: y=f(x)+4 is 4 units higher than y=f(x).

Q: If f(3) = 13, then the point (3, is on the graph of f. %3D

A:

Q: 3 if a 2

A: From the basics of Limits and Continuous

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

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: Sketch a graph of: f(x) = 2|x – 1|- 4 5+ 2 -4 -3 -2 -1 -1 I 2 -5 3 4 -2 -3- -4 -5+ Clear All Draw:…

A:

Q: if x<1 fx -x if 1sx<2 if 15x<2 f(x) 2x if x 22 Graph the given function.

A:

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

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

A:

Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4,…

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4,…

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

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Q: 0. if a 2

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

A:

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

A: The sketch of the given function has been provided in next section.

Q: Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given…

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: (-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: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: Sketch a graph of 0.5x – 6 if x 1 -x + 7 8+ |-8 -7 -6 -5 -4 -3 -2 -1 -1+ -2+ -3+ -4+ -5+ -6+ -7+…

A: Make three tables for three parts y=-0.5x-6 x -4 -6 -8 y -4 -3 -2 y=6 x -3 0 1 y 6 6 6…

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

A: The graph is :

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: if 2 -

A: Given, fx=x+7if x≤-16if -1≤x≤22x-7if x&gt;2

Q: -5 if a 1

A: The function graph will be as follows

Q: Suppose that f(x)=6x-1 and g(x) = -3x+8   Graph y = f(x) and y = g(x) and find the point that…

A: At first we draw the graph by calculating the coordinate then the intersection of the two graph is…

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…

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.