A function f is one-to-one if different inputs produceoutputs. You can tell from the graph that a functionis one-to-one by using the Test.

Q: "Determine where the graph of the function is concave, is convex or has points of inflection" e)…

A: For a given function f(x) The points at which f''(x)>0 the graph of the function is convex…

Q: A certain airine company is offering a promotion for a year, where you pay a one-time fee of $5000,…

A: We will use simple formula for average

Q: Sketch the graph of a function f for which f(0)=0

A: f(0)=0 We need to sketch the graph of the given function.

Q: Suppose you are given a formula for a function fpxq, and you are asked to find all the critical…

A: Suppose, Given - a formula for a function f(x) Critical Points: Critical point of a function are the…

Q: Find the coordinates of a second point on the graph of a function  f  if the given point is on the…

A: The point on the graph of f is 4, 3 and f is an even function.

Q: The graph of the piece-wise defined function f(x) is given below. 1 if x < -1 f(x) = if - 1<x << 2 4…

A: Given that fx=1If x&lt;−1x2    If -1&lt;x&lt;24If 2&lt;x

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Solution:Given     f(x)=x2+1x2-1To determine the open interval on which the graph of the functionis…

Q: Sketch a graph of the function by first making a table of values. H(x) = |x + 1|

A: Hx=x+1 When x=0, H0=0+1=1 When x=1, H1=1+1=2 When x=2, H2=2+1=3 When x=-1, H-1=-1+1=0 When x=-2,…

Q: Does the following represent a function?

A:

Q: Find an expression for the function f(æ) whose graph is a line passing through the points (2, 3) and…

A:

Q: Graph the function defined by g(x) = |x + 2|.

A: Given function is, gx=x+2. Graph the absolute value using the vertex and few selected points.   x…

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Differentiate h(x) with respect to x to get h'(x)=5(x4-1). Equate h'(x) to 0 and find the values of…

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

Q: Sketch the graph of a function f for which f ' (0)=3

A: Given: f'0=3 To sketch: The graph of function f with the given property,

Q: What is the domain of the following function?

A: Given f(x,y) =4-x2-y2 - ln(y-x) + sin(x)Let g(x,y) =4-x2-y2 h(x,y)= ln(y-x) and t(x)=sin(x)

Q: List the points in the graph at which the function is not differentiable.

A:

Q: Find all the numbers for which the function is discontinuous.

A: A function is discontinuous at a point if the functional value is not defined at that point. There…

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine if the function has absolute value on the interval.

Q: Sketch a graph of the function by first making a table of values.

A: Given that, f(x)=1+x The domain of function f(x)=1+x is the set of all positive numbers because the…

Q: create a piecewise function showing the rate of money f(x) that must be paid by a customer after…

A: In this question, First, we are to create a piecewise function showing the rate of money f(x)  that…

Q: x 3.

A:

Q: What is the domain of this function?

A:

Q: What is the domain of the function graphed below?

A: Using the graph we can conclude than the domain of the function is [-5,α]

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: For a given function ƒ, what does ƒ′ represent?

A: If a function f is given, then the first derivative of the function is represented by f'. It can…

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. f(x) =…

A: f(x) = 2x

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. g(x) =…

A: g(x)=3(1.3)x

Q: Identify the location and value of any relative maxima or minima of the function. If there is more…

A: Given that:

Q: -1 is an even function

A: The given statement is true.

Q: The owner of a luxury motor yacht that sails among the 4000  Greek islands charges $400 per person…

A:

Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  &lt;fx,fy&gt; Finding…

Q: Identify the intervals for which the function is increasing / decreasing.

A:

Q: b) Write a piecewise-defined function for the income of an author (f(x)) who earns $10 for each book…

A:

Q: Suppose Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

A: Given: Primo Pizza's profit on a given day is always the same as the profit of Pizza Supreme's…

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: The graph of this function is:

Q: Find a function that satisfies the given conditions and sketch its graph.

A:

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: To determine function H that represents total health care expenditures in year x

Q: If every horizontal line intersects the graph of a function f at no more than one point, then f is…

A: Given statement: If every horizontal line intersects the graph of a function f at no more than one…

Q: Some workers use technology such as e-mails, computers, and multiple phone lines to work at home,…

A: Given information: Given table lists the values of telecommuters T in millions for the years 1997 to…

Q: A function is even if the opposite input results in an

A: For even function :f(-x)=f(x)

Q: show the graph of the given functions

A: Here it's told to show the graph of given functions. We will plot the graph of both the functions…

Q: Determine the end (long run) behavior for the function below: f(x) = –2(x – 1)³(x+ 2)²

A: We first find the leading term of the given function  We will ignore the constants with the xs to…

Q: Consider the following function. 3 if x 2 - 8. Step 3 of 3: ldentify the correct graph of this…

A: The given function is,p(x)=3xif x&lt;2-78xif x&gt;2

Q: Create a graph of a function that would meet the following criteria: its domain = (-2,4] its…

A: Given: Domain: (-2,4]Range:  [-3,9) To Find: A graph of a function that satisfies the following…

Q: Find the requested information for the function using its graph. 3 Domain: VA: 8 10 НА: 13

A:

Q: Use the graph of the function f to find approximations of the given values

A: The given graph  is,

Q: What is the relation between the differentiability andcontinuity of a function?

A: All differentiable functions are continuous, but not all continuous functions are differentiable.

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. h(x) =…

A: Given function is hx=1.1x. List the values of the given function as shown in below table. x…