Make a complete graph of the function h(x)= 2x2 +4x-6 and describe its domain and range.

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

Q: y =-2Vx+5 + 3

A: For a function, y=f(x), x is the independent variable and y is the dependent variable.

Q: Use the graph of f(x) = x2 to write an equation for the function represented by (a) y -2 -2

A:

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: 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: Sketch the graph of the function y = 3−∣x∣

A: We make a table for the given function

Q: Analyze the graph of the function. Зх- 12 H(x) = 16 -x

A:

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

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

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given: fx=x3-9x2   To Find: the points of inflection and discuss the concavity of the graph of the…

Q: True or False The graph of a function y = f1x2 alwayscrosses the y-axis.

A: Given : Statement : The graph of a function y=f(x) always crosses the y-axis. Determine the given…

Q: What are the points of intersection of the graphs of the functions f(x) = - 3x + 2 and g(x) = x2 -…

A: At the point of intersection of two graphs, the value of both the function is equal. So, equate f(x)…

Q: Sketch the graph of f(x) =x* – 3x³ +x – 3

A: Given function, f(x)=x⁴-3x³+x-3  Now f(x)=0 gives, x⁴-3x³+x-3=0 So,  x³(x+1) -4x²(x+1) +4x(x+1)…

Q: Sketch the graph of f.

A: To sketch the graph of the given function:…

Q: Sketch the graph of the function. y = 3x/2

A: we have to Sketch the graph of the function. y = 3x/2

Q: Match the Graph with the Zeros of the function

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Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−4.

A: The given function is fx=54x-4=20x-4. It is a linear function which is part from the family of…

Q: Sketch the graph of the following function 3x2 f(x) = x2 – 4 -

A: Given: f(x)=3x2x2-4

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

A: fx=12x2-4x+7

Q: Analyze and sketch the graph of f(x) = x√(x2 + 2) .

A: Consider the function:

Q: How many x-intercepts can the graph of a function have? How many y-intercepts can the graph of a…

A: A graph of function can have infinitely many x-intercepts. For example: Sine function and cosine…

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2&gt;x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

Q: Find the domain and range of the function without graphing f(x) = 2√x

A:

Q: Determine the end behavior of the graph of the function. h (x) = 11x° + 7x* – 5x' +7x-7 As x-00, h…

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Q: Sketch the graph of the function. x + 6, xS -3 g(x) = 2 x- 5, x> -3

A: Given, gx = x+6,x≤-312x-5,   x&gt;-3  We have to sketch the graph of gx

Q: Graph the function. f(x) = 3*

A:

Q: Sketch the graph of the function. h(x) = 5x−2

A: hx=5x-2 Let us find the points on the given function by arbitrarily choosing the values of x. When…

Q: Find where function is increasing and decreasing. And graph the function.   f(x)= x4-33x2+90x+216

A: To determine the intervals on which f(x) is increasing or decreaing

Q: Sketch the graph of the function

A: Given: y=2x2     X       Y     0      1     1       2     2      16    -1       2    -2…

Q: Sketch the graph of f(x) = x2 − 4x + 3. Identify the vertex and x-intercepts.

A: Use a graphing utility to sketch the graph of f(x)=x2-4x+3. Since the function is of second order;…

Q: 6) f(x) = 4 .

A:

Q: Sketch the graph of the function

A: y=-ex-1at x=1, y=-e1-1=-1at x=2, y=-e2-1=-2.72at…

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)&gt;(x + 2)?

A: Given inequality is: gx=x2+4&gt;x+2 Given point is (4, 14).

Q: Sketch the graph of the function.

A: the given function is: hx=5x-2 we have to sketch the graph of the given function.

Q: Sketch the graph of f.

A: Sketching Graphs have a horizontal x-axis and vertical y-axis, and the point…

Q: y = (x +2)x² - 1

A:

Q: Examine the graph of the function f(x) 10x+3x-12r. %3D

A: Given f(x)=10x3+3x2-12x

Q: Find the point on the graph of the function f that is closest to the point (a, b) by minimizing the…

A: According to the given information, it is required to find a point on the graph that is closest to…

Q: This graph represents the function f (x) = x² – 2x + 2. %3D -

A:

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: Sketch the graph of the function: (plot at least 4 points on the graph) -5x +2 ,x<0 F(x) = 1-x²-2 x…

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Q: How can I solve the domain of this function?

A: Clearly we can see that the given function is a polynomial of order 2. And we know that polynomial…

Q: Choose the graph of the function without using your calculator. Then, use your calculator to check…

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Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: sketch the graph of the function y= x-4X +3

A:

Q: Analyze the graph of the function. 4x - 12 H(x) = 9-x2

A: Calculation:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 8, (0,…

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Q: Sketch a graph of: f(x) = 2|x + 2| – 3

A:

Q: Find the domain and sketch the graph of the function.

A: Find the domain and sketch the graph of the function.