The graph of y = f(x) has x-intercepts of -2 and 7, and a y-intercept of 4. Find the axes intercepts of: (a) g(x) = f(x)– 2. (b) h(x) = f(x+1). (c) j(x)=-2f(x).

Q: f(x) =x−7 / x+5 Determine if there are any holes. If so give the coordinates of the hole

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Q: 1 Let f(x)= 4x² + 2 An equation of the line L tangent to the graph of f at the point ( ,) is (fill…

A: Given: ------------------------------------------------------------------------------ To find: An…

Q: Graph of the equation f(x) = 3x - 3 in the xy-Coordinate Plane.

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Q: Graph: f(x) =x4/(x2 + 2).

A: Given, the function                       We have to graph this function.

Q: Find g(-1), given g(x) = -x² +5

A: Topic -functions We can find g(-1) by putting x=-1 in g (x)

Q: Determine b and c for the quadratic function f(x) = −x2 + bx + c where the y-intercept is 2 and it…

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Q: Graph: f(x) = (4x - 4)/(x - 2)

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

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Q: Graph: f(x) = x4/(x2 + 2).

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Q: Sketch the graph of:

A: To sketch a graph follow the steps given below. 1) Calculate the x- intercept by taking y=0. 2)…

Q: f(x) = x + 5, g(x) = x - 4 Find (f + g)(-4).

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Q: The temperature of an object taken from a freezer gradually rises and can be modeled by T(x) = 3x –…

A: Given thatT(x) = 3x – 15,where T(x) is the Fahrenheit temperature of the object x minutes after…

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 2x+ 2. no x-intercept(s) (-7, 0),…

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Q: Graph the equation : f(x) = (x - 1)2(x - 3)

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Q: f(x) = 3x + 30 xolt ex

A: Given:A function, .To Find:The domain of the function.Concept Used:The domain of a function is the…

Q: r(x)= (x+1)(x-3) over (x+3)(x-4). Find the x intercepts

A: Given query is to find x intercepts.

Q: f(x) = (x + 13)(x – 13) Convert to Standard Form and Find the x-intercepts

A: Given that: f(x)=(x+13)(x-13)

Q: Express the function f (a) = 2x2 + 12x + 16 in standard form. Find the vertex and all intercepts.…

A: f(x)=2x2+12x+16=2(x2+6x+8)=2(x+2)(x+4)To find the vertex and intercept

Q: Graph: R(x) = 2x + 1 / x - 3

A: Given:              R(x)=2x+1x−3

Q: r(x) is the image of y=2x2+12x+2 after a translation left 2 units and up 3 units, write the equation…

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Q: Find the x-intercept(s) and y-intercept(s) of the graph of f(x) = 2x² – 5x + 1.

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Q: Consider the function f(x) = x2 + 3x - 4. (a) Factor this polynomial and also complete the square.…

A: As per norms, the first three questions are answered. the question concerns the quadratic function…

Q: Form a quadratic function f(x) for which f(1)3D0, f(-1)= -4, and f(2)= 5. The equation is f(x) =-

A: Given : fx is a quadratic equation. f1 = 0f-1 = -4f2 = 5

Q: determine the y-intercept of f(x) equals 3X -1 divided by X -1 

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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.