Sketch the graph of the function f to determine the type of discontinuity at each x-value. x2 +2, if x < -3 -5, -3x + 2, -2x if x = -3 if - 3 < x <0 f(x) = { if 0 < x < 3 (x - 3)2' 1 if 3

Q: Identify where the function f(x) = x³ – 4x² + 8x + 3 is increasing, decreasing, concave up, and…

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Q: S 2x2 + 3x – 3 if x -1 1) Complete an Xy-chart for each piece of the given function. Be sure to use…

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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…

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Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

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Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)

Q: For the function as defined that is one to one, graph f and f-1 on the same axis please: f(x) = x^3…

A: Consider the given 1 to 1 function.

Q: The UofToys company has a factory that produces toy trucks and toy cars only. The total number of…

A: Given: A toy's company has a factory that produces toy trucks and toy cars. The total number of toys…

Q: What is the domain and range of the function f(x) = -3(2)*+1 – 4?

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Q: Determine the horizontal asymptote of each function. If none exists, state that fact. answer…

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Q: Demonstrate that the equation - 5x + |– 9y| = 10 does not represent a function by picking an input…

A: To  choose an input value x such that the given equation gives two output values y .

Q: For each problem, find the x-coordinates of all points of inflection, find all discontinuities, and…

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Q: The UofToys company has a factory that produces toy trucks and toy cars only. The total umber of…

A: Given: A toy company has a factory that produces toy trucks and toy cars. The total number of toys…

Q: Determine if the function is odd, even or neither * x2-1 x²+1

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Q: The domain of the function 11x + 7 is I - 3 f(z) = %3D

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Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

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Q: answer the following with solutions 1. How many subsets are there in Set F = { 1/2, 1/3, 1/4, 1/5,…

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Q: Differentiate the following function. y=x(x5 + 5) 3 Choose the correct setup below to differentiate…

A: We have to check

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…

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Q: 3- if x 2 -2 *(x) = —х + 1 2 1- -4 -2 -1 1 2 3 4 -1 -2- -3 2.

A: we have to draw the graph

Q: 4. Graph this piecewise function: f(x): = x+1 -2x-3 x<-2 xM-2

A: We need to graph the given functionf(x)=x+1x&lt;-2-2x-3x≥-2

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.