Evaluate f(x + 5) when f(x) = 4x² – 5x – 4

Q: III. Graph each polynomial function. 9. P(x)= x- 9x? 11. %3D 10. P(x) = -x³+ 3x? 12

A:

Q: What is the type of the polynomial functiony = 5x4 - 2x3 + 4x2 + 5?

A: Given the polynomial functiony = 5x4 - 2x3 + 4x2 + 5?

Q: f(x) = x* + x³ - 22r² – 2r + 40 %3D

A:

Q: If g (³x 3x-5 4 = 4x + 7, find g(2x − 3) -

A: Topic -functions We are given g3x-54=4x+7

Q: 2x2 – 8 x² – 16 Ax) =

A: We have to draw the graph

Q: Evaluate -dx (л — 1)(1? — 6л + 10)

A: The given integral is  I=∫-∞∞2x-1x2-6x+10dx Using the partial fraction , we get…

Q: Use the Remainder Theorem to evaluate the following functions: 5. F(x) = 3x + 8x? + 5x – 7; x=-2 6.…

A:

Q: Suppose y = (x² + 3æ)(x – 2)(x² + 1).

A: Given y=x2+3xx-2x2+1  We solve this by using product rule  ddxuv=udvdx+vdudx

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: FInd p(2) and p(-5) for each polynomial function. 1. p(x)=4x3-3x2-24x-9 2. p(x)=6x3-4x2-14x+4

A:

Q: #5-6: Use f(x)=x¹ +4x³-11x²-24x+30 5. List all of the actual zeros. 6. Write f(x) in completely…

A: The answers have been provided.Explanation:

Q: Questlon 4 of 10 f(x) = + 2 g(r) = 3x2 – 5 %3D | Find (ƒ - g)(x). O A. (f · g)(x) = 3x + 10 %3D B.…

A: Ttt

Q: Differentiate the function √√7e³x - 1 2x² + 1

A: (u/v)' = (v.u'-uv')/v2 (u+v)'= u'+v'  (u.v)' = uv'+u'v

Q: Find the largest damain af the function : 2X+2X-1 x²+3X-10

A: Given  y = 2x2+2x-1x2+3x-10 To find the domain of the above function, we have to find the value of x…

Q: Find the domain of f

A: Given: fx=4x-3x2-4. Here, fx is defined only when 4x-3≥0 and x2-4≠0. When 4x-3≥0, x≥34 When…

Q: Vx2-7x+12

A: Set the radicand in (√(x 2 −7x+12))greater than or equal to 0 to find where the expression is…

Q: 12. Which polynomial function has its end behavior extending from quadrants 1 to 2? a. f(x) = x³ – 9…

A: y=f(x), in 1st quadrant x and y are both positive  In 2nd quadrant x is negative and y is positive…

Q: Explain why f(x) = 5x + 7x + x + 9 has no real zeros.

A: Consider the given: Descartes' Rules of Signs:Let fx be a polynomial with real coefficients and a…

Q: (b). Apply the indicated operator A2(x3 + 6x2 + 2x).|

A: Given term is  ∆2x3+6x2+2x

Q: Find the linear factors of 2x²-y-x + xy + 2y - 1.

A:

Q: Simplify P(x) + Q(x). * P(x) and Q(x) are polynomials whereP(x) = 2x- 5x + 4 and Q(x) = 3x- 10. %3D…

A: given: Px=2x2-5x+4  and Qx=3x-10

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: (Vx +10xdx

A:

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.