. For an equation that represents y as a function of x, the set of all values taken on by the ________variable x is the domain, and the set of all values taken on by the ________ variable y is the range.

Q: The independent variable is sometimes referred to as the______of the function.(a) range (b) value…

A: Definition used -               The argument is just another name for an independent variable.

Q: Which of the following is not true about function? a. Function is composed of two quantities where…

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Q: In Problem,determine whether the graph is that of a function by using the vertical-line test.If it…

A: Vertical Line Test :    if any vertical line parallel to y axis cuts the graph at only one point…

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral…

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Q: 3 2 1- -1- -2 -3 4 g(x) = (x – 1)² – 4 | g(x) = (x + 1)? – 4 g(x) = (x – 3)² – 8

A: Given query is to find the equation of the graph.

Q: The graph below represents the path of a football thrown by the Edmonton Eskimos quarterback. 10 20…

A: The values we can put in lying on horizontal axis is known as domain and the possible outcomes is…

Q: The graph of the function is a translation of the graph of f(x) = x³. Graph the function. h(x) = (x…

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Q: A city park has a train ride. The profit the park earns from the daily train rides is based on the…

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Q: 2- Wyite a formula for the function f(x)_whose graph below: -2 :- 2. 3 (-2,-1) (3,-1)

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Q: What function equation is represented by the graph? o f(x) = -žx+ o f(x) = -x+4 of (x) = -4x + of…

A: Two points that are on the graph are (0,4),(2.-1)

Q: Which of the following are graphs of functions? If the graph is that of a function, is it…

A: Explained below

Q: A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral…

A: Given, a wire 10m long which is cut into two pieces. One will be shaped as equilateral triangle and…

Q: The graph of y=f(x) is given. Graph the function y=- 3 7- 6+ 4+ 3+ y=f(x) 2- -7 -6 -5 -4 2 3 4 6 -4+…

A: Given:  graph of f(x). -----------------------------------------------------------------------------…

Q: If f (z) = -and g (z) = -2, which graph corresponds to the function of (fg) (2)? D line U B line S A…

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Q: -6 -5 4 -3 -2 -1 -2 -5 -- Write the range of the function using interval notation. Submit Question

A: The range of the function is the closed interval, [-5, -1]

Q: Which graph represents the function f (x) = --4 and its intercepts? The x-intercept is (6, 0), and…

A: The given equation is: f(x)=y=-23x-4 So, substitute y=0, to get the x-intercept…

Q: Which of the following represents a function? A. {(1,2), (2, 1), (1, 1)} B. {(r, y)|1+ y > 2} C.…

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Q: Which of the following is a property of the function f(x) = (1/8)x? A. The graph passes through (1,…

A: We will find the property

Q: The subtraction of two functions: An even function minus an odd function gives an odd function. True…

A: Suppose f(x)=x  and g(x)=x2, then f is odd and g is even.

Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine…

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Q: (a) Complete the table of values of f(x) for x = -3, -2, –1,0, 1,2, 3. -3 -2 -1 2 3 f(x) (b) Which…

A: x -3 -2 -1 0 1 2 3 f(x) 0.015625 0.0625 0.25 1 4 16 64

Q: Consider the functions graphed in the coordinate plane. YI 9 1o g(x) f(x) If g (x) = f (x) + k ,…

A: The relation between the functions f(x) and g(x) is given by g(x) = f(x) + k…

Q: of each graph, then state w 2. 3-

A: Solve the following

Q: What is the function's domain b. What is the function's range c. What is the x-intercepts, if any d.…

A: From the graph : Domain : is set of value of x for which function exist Therefore, Domain : (-∞,∞)

Q: If (- 2, 3) is a point on the graph of a one-to-one function f,which of the following points is on…

A: Given data: (- 2, 3) is a point on the graph of a one-to-one function f. The objective is to find…

Q: The graph of a function y = f(x) can have more than one ofwhich type of intercept?(a) x-intercept…

A: X intercept is the point where the graph crosses x axis The graph of function can crosses x  axis at…

Q: Write the given function as a composition of two or more non-identity functions: x- 5 P(x)= 3

A: • gof(x) or g(f(x)) is a composition of two functions g(x) and f(x) where x belongs to the domain of…

Q: If f (x) = x- and g (x) = -2, which graph corresponds to the function of (fg) (2)? D line U B line S…

A:

Q: 13) Identify the domain value of the function 3 -5 for the range value of-2. A) -3 D) 2 B) -3.5 E) 3…

A: y=(-3/2)x-5 for range value of -2.

Q: g(x) -3 -2 %24 2- 2. 1.

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Q: etermine whether the following relation represents y as a function of -4 -3 -2 -1 y 1 -1 -2 2 3 1 2…

A: Topic:- function      Definition :- The domain is the set of all the input values of a function and…

Q: 5. Which of the following are the graphs of functions? Why? b) 1.3. GRAPHS OF FUNCTIONS d) f)

A: A function is relation which gives exactly one output value for a possible input value. That means…

Q: 1. Which of the following are graphs of functions? If the graph is that of a function, is it…

A: We know that any of the given graphs, will be the required graph of the function, if it is…

Q: he domain and range of the function graph 5+ 2- -3 -2 -1 I 2 3 4 5 -2 -4 -5+ n: [-2,1) 3.

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Q: The table shown contains points that lie on the graph of a function f. Which of the following…

A: A function is said to be linear if the rate of change of X and Y coordinates are constant.

Q: Function p is in the form y ax+ c. If the values of a and c are both less than 0, which graph could…

A: Given equation ,   y = ax2 + c

Q: 4) The function f has the property that f, f', f" are negative for all values of x. Which of the…

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Q: 2) State the domain and range of the following relation. Determine if the relation is a function or…

A: We have to find the domain and range of the function.

Q: tind E such that the line is tangant to the graph of the function. Line: 4ニ -Gx+3 function: guu)=…

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Q: 1. Which of the following are graphs of functions? If the graph is that of a function, is it…

A: A function is an equation it gives one output for one input . The x axis represents the set of…

Q: A salesman sells mobile phones and if x is the number of phones sold per month by the salesman. His…

A: The salary function is given as s(x)=0.5x+1000, where x is the number of phones sold per month. If…

Q: Consider the function Y = (X*Z)0.5. At what point is the intersection of the line Z = - 1.4X + 30…

A: The graph of the function Y = (X*Z)0.5, the line Z = - 1.4X + 30 and contour line (in fact it is the…

Q: A soccer ball is kicked from the ground in an arc defined by the function, h(x) = -4x2 + 16x. At…

A: This question is based on Coordinate geometry.

Q: 3. Describe the properties of the function y = 2tan(ïx − ¹) – 1. State the range 2 for the function,…

A: Sol:- Properties of the function 2tanπx-π2-1 (1) Range of this function is entire real number as it…

Q: the y-axis, the origin, or neither. f(x) = x3 - 3x Determine whether the function is even, odd, or…

A: Given query is to find that function is even or odd and then find its symmetry.

Q: 13. If a point A(-3, 5) is on the graph of a function f, find the corresponding point of the given…

A: Given that the point A=(-3,5) is on the graph of function f. So we have, f(-3)= 5.....(i)

Q: A linear function is such that ?(3) = 8 and ?(−2) = 2. Find the formula for the linear function.

A: Let the linear function be f(x)=ax+bSince , we have f(3)=8 and f(-2)=2, so we have two equation in x

Q: > NEXT Which of the following graphs represents the function g ()= (x- 2) +1 3 -2 -3 -2 3

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Q: A graph or a piecewise derined function is given. y 5- 4 3 1- -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 Find…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.