use example 3.18 to contrust a table that describes the function H

Q: Express the function (or rule) in words.

A: We have to express the function in words: gx=x+23 Writing part wise, If function is gx=x+2 Then we…

Q: Identify if the following function as "linear" or "non-linear". o Linear o Non-Linear

A:

Q: Use the graphs of f and g to evaluate the functions. y-fx) 4 4 y g(r) 3- 3. 2- |十 1. 2. -1 2. 3. 4…

A: Consider the combination of functions fx and gx, 1. f∘gx=fgx2. g∘fx=gfx From the given figures it is…

Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D…

A: here f(1)=2,g(1)=1,f(5)=3,g(5)=2 Lets find f'(1),g'(1),f'(5),g'(5): for 0≤x≤2…

Q: Cite 5 examples of functions, which are also a relation.

A: Solution:-

Q: Graph the functionf:Z→Z, defined by h(x)=

A: Greatest integer function returns the integer for any input inside the function. Suppose the number…

Q: draw the graph of a function for which f' and f'' take on the given sign combinations. ++, +−, −−

A: Case 1: ++ Sign of f' = + This implies that the function is increasing Sign of f'' = + This implies…

Q: 180 160 140 120 100 80 60 40 20

A: Find the nature of the curve. As x increases, the value for y decreases. Also there is y intercept…

Q: Determine if the following graphs represent a one‐to‐one function

A: We have to find

Q: For the function g whose graph is given, state the following. To type oo or -0o, enter INFINITY or…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: 3. Is the relation xy = 36 a function? Explain why or why not? Draw this relation.

A:

Q: Use the following graph of f(x) to describe the behavior of f '(x). State where f '(x) is positive,…

A: Given Graph of the function

Q: Sketch the graph of the following piecewise function. x2 x1

A:

Q: Consider the function graphed on the coordinate grid. 4 -5 -4 -3 -2 3 Which statements describe this…

A: Given query is to find the correct statement.

Q: Graph the function h: Z→Z, defined by h(x)=| 3

A: Graph of the function

Q: below, state whether it represents a function. Graph 1 Graph 2 Graph 3 8- 4- 6. 4+ 2. -8 -6 2. -2 -4…

A: A function is a relation for which each value from the set the first components of the ordered pairs…

Q: Let f(x) = x² If g(x) is the graph of f(x) shifted up 3 units, write a formula for g(x) g(x)=

A:

Q: 12. Determine what type of function the following table is:

A:

Q: Use the graph of a transformed toolkit function to write a formula for the resulting function. y 10|…

A: Let the graph be g(x) The above graph is similar to left parabola (upper)  [ Positive values of y ]…

Q: Express the function below (using parentheses, ^, x, +, etc.) in a form suitable for typing into a…

A: the given expression,    -6x34+3x145

Q: 1. Explain whether each relation is a function. a) b) c)

A: Where we have to check the given  relation is function or not

Q: Which mapping diagram does NOT represent a function from x y? 00

A:

Q: Write a definition of the function whose graph is given. Ay 10- 0-

A: Topic : eqyation of piecewise function From graph  equation of line with two points (x1 ,y1 ) and…

Q: 6.

A:

Q: 4.

A:

Q: Let f(x) = x³ If g(x) is the graph of f(x) shifted up 1 units, write a formula for g(x) g(x)=

A: Consider the function  f(x)=x3

Q: to determine whether the function is even, odd, or ne 4-

A: Here we have to determine even or odd function,  we have,

Q: 7. Identify whether the following ordered pairs is a function: (2, 2), (3, 2), (5, 4).

A: A relation is said to be function if every elements is related to only one element. So there is…

Q: Which mapping diagram represents a function from xy? 00

A: If for one value of x we get one value of y, then the relation will be a function.  Here 8 has two…

Q: Draw a machine diagram for the function. f(x)=squr x-2.

A:

Q: Among the following mapping diagrams, which do you think represent functions?

A: Given: The mapping diagrams To find: Which of the mapping diagram represent a function.

Q: 50

A: Relation The given co-ordinates are(-1,0),(-4,-1),(-1,3),(-2,5),(0,5),(1,-3),(5,-2),(4,2).

Q: Draw a machine diagram for the function.

A: To draw a machine diagram for the function                                                fx=3x-2…

Q: Give an example of a discontinuity function?

A: If f(x) is not continuous at x=a , then f(x) is said to be discontinuous at x=a.

Q: Which graph represents the following function: f (x) = { 4x – 3 x > 2 -x x < 2

A: Given f(x)=4x-3, x≥2-x    , x&lt;2

Q: Use the given graphs of f and g to evaluate the expression.

A: Using the given graphf(3) = 0g (0) = 3

Q: Differentiate the following function. (DO NOT JUST SIMPLIFY.) Y=(X-X2) (X3+1)4

A:

Q: Complete the description of the piecewise function graphed below. bi if f(z) = if 21 <3 if 3<r< 6

A: Given that: Graph of f(x)

Q: 2. Determine which of the graphs below are functions from R into R. (a) (b) (c)

A:

Q: Is the following relation a function? 21

A: A relation is a function when for a single value of x we have unique value of y.

Q: 2. Find the domain and range of the following function: у %3D 12 — х— х?

A:

Q: The function below has the form 14+ 12

A:

Q: 2. Is every relation a function? Explain why or why not?

A: Topic = Functions

Q: 4) Use the given graph of a function f to determine when the function is increasing, decreasing, or…

A: Function is increasing when slope of tangent is positive and decreasing when slope of tangent line…

Q: 02. Which is the symbolic representation for a ceiling step function. A. f(x) = [x] B. f(x) = x C. f…

A: We find which of the following function represent ceiling function

Q: Graph the following function. f(x) = x2 – 10 Use the graphing tool to graph the function. Click to…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.