what point is on the graph of a function f with equation fK): 1og,x, regardless of the value of b? Explain why.

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 8)…

A: It is given that, fx=x2, 0,8. Any point on the given curve will be in the form x,y=x,x2. Distance…

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Is the function even, odd, or neither?

A: From the graph of the given function, it is observed that the graph is symmetric about origin. Or it…

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: is this a function? what is the domain?  what is the range?

A: The points of any function are represented by (x, y). The x coordinate of the function indicates the…

Q: determine from its graph if the function is one-to one.

A:

Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.

A: To be symmetric about the x-axis. We must have points of the form (x,-y) when (x,y) is on the…

Q: Which value of k will result in the relation not being a function?

A: Solution is in second part

Q: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

A:

Q: What is the range of this function?

A: We have to find the range of the function from the given graph.

Q: (0, 3) 2 1- (2.0)

A:

Q: Use point plotting to graph f (x) = x + 2 if x ≤ 1.

A: The given function is

Q: If 1 US dollar is equal to .85 euro, define a function f that takes as input a number of US dollars,…

A: Given: 1 US dollar= 0.85 euro…

Q: What information do you need in order to write the equation of a function that could model the…

A: 1. Gymnast's distance from the trampoline as they jump can be modelled by a Polynomial of order 4.…

Q: is the function even, odd, or neither?

A:

Q: What is the domain and range of f from the graph above?

A: Consider the given graph.

Q: For a curve to be symmetric about the x-axis, the point (x, y) must lie on the curve if and only if…

A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

Q: What is the slope of the graph of f (x) when x = 1?

A: Given: Function f(x).

Q: What is the range of the cotangent function?

A: To find the range of the cotangent function. Solution: Range is the output value that a function can…

Q: Which table does not represent a function of x?

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Should I simplify a quotient function before finding its domain?

A: No, we have to find domain first then simplify the rational function or quotient function . If we…

Q: f(x) : x?

A:

Q: Which graph represe nts y as a function of x?

A: Function : a function is a binary relation between two sets that associates every element of the…

Q: ) What is the range of the cotangent function?

A:

Q: Can every curve in the coordinate plane be the graph of a function? Why?

A: Question- Can every curve in the coordinate plane be the graph of a function ? why? Answer- A…

Q: List the x-values where f is not differentiable:

A: A function is not differentiable at points of discontinuity and corner points of any graph.

Q: If I reverse a function’s components, will this new relation be a function?

A: Suppose a function f(x)=3x+5 with the input of x and gives the result y.

Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

A:

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: What is the rangqe of this function?

A: The given graph of the function is:

Q: A man drives from Detroit to Chicago, say 300 mi., at an average speed of  60 mi. per hr., stops 1…

A: A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops 1…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x, (0, 2)…

A:

Q: is the domain? What is the range? can you represent the relationship een time traveled and speed?…

A: a. It is known that, speed travelled by the train depends upon the amount of time. Let x be the time…

Q: Is the given diagram below depicts a function or not? *

A: The given mapping is

Q: how can you use a graph to dertermine that a relationship is not a function?]

A: Given that the graph to determine that the relationship is not function.

Q: The graph of which function starts at (0,0)?

A: The graph of the function, y = √x starts at (0,0)

Q: The line G in the top graph indicates that the __________ of he function is all real numbers.

A: The line 'G' has arrow at both ends. It indicates that line 'G' is limitless in y-direction.  Hence,…

Q: Which set of ordered pairs represents y as a function of x? ?

A: Given , I 9,2 , 0,6 , 1,-2 , -3,6 J -1,0 ,4,3 , -7,-3 , -1,-8K3,2 , -4,-2,3,1 , -4,1L5,4 , 2,3 ,…

Q: Find the points on the graph of the function that are closest to the given point. f(x) - х2 - 2, (0,…

A:

Q: What are the odd functions?

A: We have to define odd function. If we have function y=fx then for odd function it must satisfy that…

Q: What is the apparent domain and range of this function?

A:

Q: What is the f(x) equation for the graph? also, what would the intervals be for where f(x)0

A: f(x) is the parabola of the the form x2=-4ay   From the given graph it can be observed that…

Q: 7, find out whether the following functions are analytic 24. y - ix x² + y²

A:

Q: What must be done to a function’s equation so that its graph is shifted horizontally to the right?

A: If c is positive,y=fx+c shifts the graph of f to the left c units and y=fx-c shifts the graph of f…

Q: Construct a function that is undefined at points 2,3 and π

A: We have to write a function fx which is not defined at the points x=2, x=3 and x=π. We know that a…