10) Consider the function f(x) = 7x² – 8r. Evaluate the following expressions, and simplify your answers. a) f(2) b) f(-2) c) f(3r) d) f(r+3)

Q: How do the functions el0x ande -10x behave as x o and as x S - 0?

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Q: Determine 04 O4h 05 O 5h f(2+h)-f(2) h if f(x) = 5x 6.

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Q: Use the function f(x) = -3a? + 7æ + 7 to compute and expand and simplify the following. a. f(-2) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given the function f(x) = - 2x? + 5x + 4, evaluate and simplify the following expressions: a. f(r +…

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Q: Use the functions f(x) = -3x – 14 and g(x) = 2x2 + 5x – 7 to evaluate the following: a. f(8) = b.…

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Q: Evaluate the function f(x) = -3x +8 at the indicated values. a) Find f(2). b) Find f(-6). a) f(2) =…

A: Given function is : f(x) = -3x + 8 To find : a) f(2)  b) f(-6)

Q: Let ?(?)=?2+3?f(x)=x2+3x. Find and simplify ?(2/3) Select one: A.22/9 B.8/3 C.10/31 D.10/9 E.2

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Q: f(x) = 13x + 4 a.) f(-3) b.) f(4)

A: topic - functions

Q: What are the zeros of the functio f(x) = x² + 2x – 24 ? %3D A. -8 and 3 B. -6 and 4 C. . 4 and 6 D.…

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Q: What is the constant term of the function f(x) = (x + 2)(2x - 8)? O A. - 32 O B. - 16 O C. - 8 D. 2

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Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: B: Draw the function y = √√x-8

A: First we compare this equation with general equation of parabola then transform.

Q: 3) Use the functions f(x)= 12 - 2x and g(x) = 4x² – x – 7 to evaluate the following: %3D a) f(4) b)…

A: The given functions are fx=12-2x,gx=4x2-x-7.

Q: Where is the function y=√x−5 increasing

A: Given:  y=x-5

Q: Let f(æ) = 2x + 3 and g(æ) = 2a2? + 4x. After simplifying, (f o g)(x) =

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Q: Which function is equivalent to, y = 4x - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x +2)?…

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Q: ? Consider the functions: h(x)=x²-2x-3 and g(x) = 6x + 5. What is the value of h(2) g(-3)? A.)39 B.…

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Q: Which function is equivalent to y = 3(x + 4)2 + 5? Oy = 3x2 + 24x + 63 Oy = 3x? + 21 O y = 3x2 + 24x…

A: Qudratic expression

Q: if (gof)(- 1) = 3 and g(x) = 4x 1, find f(-1) :

A: Given that (gof)(-1)=3 and g(x)=4x-1 find f(-1)

Q: 5 and g(X) = 3X the following functions. a. (fo g)(x); b. (g o f)(x); c. (fo g)(- 1); d. (go f)(- 1)

A: Given: fx=x-5 gx=3x2-1 a) f∘gx is given as, f∘gx=fgx               =f3x2-1               =3x2-1-5…

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Q: Evaluate (-4) when f(x) = 2x – 3 and g(x) = 4x2 + 14x + 5. 4 O A. 2 В. 13 11 OC. 13 4 D. 13

A: Given Data: Function 1: f(x)=2x-3 Function 2: g(x)=4x2+14x+5 For x=-4, Substitute -4 for x in the…

Q: Which set of words describes the end behavior of the function f(x)=0.4(2x−9)(3x+1)(x−7)(x+9)?   a)…

A: the given function is

Q: Analyze and sketch a gra X f(x) = x+1 Select one:

A: Find asymptote   check undefined points : equate denominator to zero

Q: Suppose f(x) = - 2² + 7x – 10. Compute the following: | A.) f(- 4) + f(1) = -58 B.) f(- 4) E f(1) =…

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Q: If g(x)= x - 4/x, find the value of: a.) g(1) b.) g(4) c.) g(-1)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: If f(x) = 3x +2, find the value of: a.) f(0) b.) f(2) c.) f(-1) d.) f(-5) e.) f(-1/3)

A: Given: fx=3x+2 To find:  a.) f(0) b.) f(2) c.) f(-1) d.) f(-5) e.) f-13

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.