For the given function find: f(-2) and f(2) [3-z if z< 2 f(2) = | 2z – 5 if a22 Select one: a. f(-2) = -9 and f(2) =2 O b. f(-2) = 4 and f(2) =-1 O c. f(-2) = -9 and f(2) =-1 O d. f(-2) = 4 and f(2) =2

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: y = d(x) d. -10 -8-6- 2 4 6 8 -8 -10 d. Is the function above odd, even, or neither: 2.

A: The graph of the function is To determine: Whether the function is odd, even or neither.

Q: For an electric car, the number of miles that can be driven powered by only batteries depends on the…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the indicated function value: a. f(6) for f(x) = 4x + 5 b. g(-5) for g(x) = 3x² – 10 c. h(-4)…

A: To find the indicated function value:

Q: Given the function ƒ, evaluate ƒ(−1), ƒ (0), ƒ (2), and ƒ (4). ƒ(−1) = Number f(x)= { x²-1 4+x-6| if…

A: The given function is

Q: For  f={(2,4),(3,−2),(−5,−5)}f={(2,4),(3,−2),(−5,−5)} and g={(−3,1),(−2,5),(3,−2) ou were asked…

A: For two functions f and g, (f+g)(x)=f(x)+g(x)

Q: For the functions f and g find a. (f+ g)(x), b. (f- g)(x), c. (f• g)(x), and d. |(x). f(x) = x - 8,…

A: Solution ) f (x) = x - 8 , g (x) = 7x + 9 a ) ( f + g )x = f(x) + g (x)  ( f + g )x  =  x - 8 + 7x +…

Q: a. x=-37 b. x=-2 C. X=5 -2x+4 f() = ? e. x=2 f. x=? d. x=-2 )- 99 h. x=- i. x- g x-?

A: (a) Given x=-3 and f(x)=-2x+4 we need to find f(-3). We need to substitute x=-3 in the function…

Q: Add the given functions (f+)(x)

A: Given f(x)=x-6 and g(x)=x-6we know that (f+g)(x)=f(x)+g(x)

Q: Let f(x) = x² + x and g(x) = x – 5. Find each of the following: a. (f + g)(4) b. (f – g)(x) and (f –…

A: given f(x)=x2+x and g(x)=x-5 we need to find the

Q: Given f(x) =3x²-16, and g(x) = -3x. Evaluate f(g(-2)) 06 20 092 O 108

A:

Q: d²q dq +3-+ 24=8(t-4) subject to initial conditions q'(0) =0 and dt 1. Resolve q'(0) =0 di? if a=23…

A: We will find out the required value.

Q: Va + 7 Determine the domain of the following function: f(x): %3D Ox 2 - 7 and z 3 Or + 3 and a # -7…

A:

Q: If f(x) = 2x² - 8 and g(x) = 2x + 1, evaluate f(g(x)) when x = -3 -30 O-19 42 O46 60

A: Given: f(x)=2x2-8 and g(x)=2x+1

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.