1. Identify which of the following functions is a one to one function by solving algebraically. 1. 3x? - 5 2. x + 10 3. 4x +2 4. (x +7)2 +5 5. [10x + 1|-8

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at…

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Q: Evaluate the piecewise function at the given values of the independent variable. 5x +5 if x < 0 f(x)…

A: (a) f(-3) as you can see from the equation for x&lt;0  f( x ) = 5x+5 f(-3) = 5(-3)+5         = -15+5…

Q: Consider the function h(x), for which h(4) = 7 and h' (4) = -5. h(x) Find f'(4) for the function…

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Q: If an original function is f (x) =Ix1, what would be the equation of a function that shifts the…

A: Please refer the attached image for complete solution.

Q: Consider the following function: - 5x2 — х + 6 if x -4 Step 1 of 2: At what x-value is the function…

A: To find the x value at which the function is discontinuous.

Q: Complete the equation for the piecewise function graphed below. 6+ 4 Q1 7 -6 -5 -4 -3 -2 -1 2 3 4 5…

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Q: Determine whether the function is one-to-one. h(x) = x³ + 9 is one-to-one is not one-to-one

A: We need to determine if the function is one to one or not.

Q: Show if the following functions are even, odd, or neither. You must put in values that you chose to…

A: Consider the given information: The given function is, y=x3+2x2-3x-5 To show that the function is…

Q: Consider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 A. h(−5) (B.) h(−4)…

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Q: Suppose that the profit (in dollars) from the production and sale of x units of a product is given…

A: Given that the profit of production and sale of x units of product is given by the formula,…

Q: Consider the following function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

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Q: 1) Select the equation that represents the function given in the table below a) y = 1.50x -10 1 5.50…

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Q: Write the equation for the following function: 10 9 8 7. 5 4 3 1 X. -10 -9 -8 -7 -6 -5 -3 -2 -1 4 9.…

A: Given   from graph\let oint Q=(5,-1)point C=(6,0)point B=(4,0)slope of line PQpoint B(4,0) &amp;…

Q: Find any horizontal and vertical intercepts for the following function and explain the meaning of…

A: Consider a function y= f(x) To find vertical intercept ,set x= 0 To find horizontal intercept ,set…

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +3 if x<0 f(x)…

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Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: Evaluate the function for the given values of x. -3 |- h (x) = { + 7 for x<-2 4x + 2 for -2<x<5 6.…

A: Given query is to find the value of function at indicated value.

Q: 1. Determine, to the nearest tenth, the instantaneous rate of change of the function f (x) = 4x³ –…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Write the equation for the following function: 10 9. 8 7. 4 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5…

A: we know that equation of a line using two points(x1,y1) and (x2,y2) is gievn…

Q: A motel owner observes that when a room is priced at $90 per day, all 50 rooms of the motel are…

A: topic - equations

Q: se the pair of functions to find f(g(x)) and g (f (z)). Simplify your answers. f(x)=√x+6, g(x)=x² +…

A: Evaluating the pair of functions

Q: e following three functions will be largest for large values of x? (A)f(x)= x2 (B)r(x)= 4-x…

A: GIVENf(x)=x2,r(x)=4-x,h(x)=x16

Q: Consider the following function: ( 9x² – 2x + 6 if x -4 Step 1 of 2: At what x-value is the…

A: Continuity of function

Q: Find the value of the constant bl that makes the following function continuous on (-00, 00). if x 6…

A: The given function is fx=2x-6if x≤6-3x+bif x&gt;6. it is given that, the given function is…

Q: Consider the following function: - 9x2 + 9x + 10 if x < 5 | f(x) = 6x2 – 9x – 8 if x 2 5 Step 1 of…

A: If the limit of a function f(x) are not equal as x→c from the left and right i.e.…

Q: Q2:- Which of the following functions are even, odd, and neither (why): x?+4 b) f(x) = |x|-x2+1

A: Even / odd function.

Q: Consider the following function: ( 4x? — 9х — 3 if x -4 | Step 1 of 2: At what x-value is the…

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Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

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Q: Differentiate the following functions. Show your complete solutions and emphasize your final answer.…

A: 1) f(x)=25x    Differentiate with respect to x   f'(x)=252) f(x)=-4x5+2    Differentiate with…

Q: Which of the following functions must be subtracted from f(x) = 3x³ + 2x² + for the resulting…

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Q: Given the function 7x 5 x Next Question

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Q: √2x+6 2. Y = √√√3x² +10x +3

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Q: Pls help

A: We check each function.

Q: Consider the function h(x), for which h(4)=−7  and  h′(4)=3 Find f′(4) for the function f(x)=…

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Q: to 12 14 Which relationship represents a function with a lesser rate of change than the function…

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Q: The amount of foreign earnings​ (in trillions of​ dollars) kept overseas can be approximated by the…

A: Given:

Q: To produce a certain product, there is a fixed cost of $6256 and the variable cost per unit is $26.…

A: Given: Fixed cost = $6256. Variable cost per unit =$26 Selling price per unit = $43   Formula used:…

Q: Consider the following piecewise-defined function. 4x +5 if x 3 4 Step 3 of 3: Evaluate this…

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Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y…

A: A detailed solution is given below

Q: Consider the following function: 9x2 – 3x 10 if x < 7 f(x) = - 6x2 – 5x – 2 if x 2 7 Step 1 of 2: At…

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Q: у%3D (Зх — 2)5 (2х2 + 5)6 (5x-1) y = \2x+3)

A: Given: y=3x-252x2+56y=5x-12x+33 Differentiate using the product rule which state that…

Q: Determine h(x - 1) for the following function. - 2x h(x) %D x2 - 8x + 15

A: The function is an expression, which gives output values (function values) for each inputs which are…

Q: The sale of sweaters in a town changes with the temperature. If a statistical model predicts that…

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Q: Determine where the following function is discontinuous. * t2 – 9 f(t) 3t2 + 2t – 8 -

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Q: a. The value of x that makes the function discontinuous. 3x f(x)= 3x-81 O 4 O -4

A: A function f(x) in an interval (a,b) is discontinuous if it is undefined at x=c where a&lt;c&lt;b.…

Q: Consider the following piecewise-defined function. ( 4x +5 x² – 2x if x < -6 if -6 < x < 3 f(x) = 3…

A: We have to find the function at x=3 And 3≥3, which suits the last one. So we have to use the last…

Q: Write the equation of the given function. 10 8 10 8 6- 4 2468 10 -21 8- 10

A: From the graph, it can be observed that the given function is a straight line.

Q: Given the function f(x)=(2)^x find the following functions of  -g(x) that shifts f(x) down 3 and to…

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