A population of 490000 microbes increases at the continuous rate of 12% per day. Draw the graph of a function that models the situation.  The vertical (y) intercept is:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 3)…

A:

Q: Find the slope of the graph of the function at the given point.                         f(x) = 3x2 −…

A:

Q: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Explanation: Given that,  Rate of snowstorm first two hours = 1 inches/hours Rate of snowstorm next…

Q: What must be done to a function’s equation so that its graph is stretched vertically?

A: The graph of a function is stretched vertically.

Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

A:

Q: Global defense spending stood at $1.44 trillion in 2009 and is projected to grow at the rate of…

A: Given: Global defence spending stood at $1.44 trillion in 2009. It is projected to grow at the rate…

Q: Find the linearization of the function at the given point.

A: Given: f(x,y,z)=tan-1xyz Linearization of multivariable functions Recall the linearization of a…

Q: What is the domain? What is the range? What is the x-intercept if any? What is the y-intercept if…

A: The given function is fx=-2x-1       x<-32x-3          x≥-3. Find the coordiantes of the…

Q: sketch the graphof the function.y = e−x

A: GIVEN y = e−x we need to sketch the graph

Q: y -2

A:

Q: Create a table to represent the amount of money that Khalil has earned for babysitting as a function…

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Q: Describe the behavior of the function h  around its vertical asymptote at x= -5 for the equation:…

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Q: Find the exact location of the relative and absolute extrema of the function.

A: Solve the following

Q: True or False The graph of a function y = f(x) alwayscrosses the y-axis

A: Given statement is: The graph of a function y=f(x) always crosses the y-axis. The given Statement is…

Q: Sketch the graph of the function

A:

Q: The education of women in Oman in the year 1999 was (30+5) percentages. It was increased to (75+R)…

A:

Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?

A: What must be done to a function’s equation so that its graph is reflected about the x-axis?

Q: A global data plan costs $25 a month for the first 100 megabytes and $20 for each additional 100…

A: The equation representing the cost as a function of the number of megabytes x used per month is:…

Q: Consumers will demand 1380 items at a price of $4.25/item. When the price per item increases to $7,…

A:

Q: The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width,…

A: Given: fx=x3,  x=5 inches

Q: What must be done to a function’s equation so that its graph is stretched vertically? Explain.

A: Suppose that the function is say y = f(x) . To find what must be done to a function's so that its…

Q: Sketch the graph of the function

A: The function: y=ex

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: Sketch the graph of the function

A: Given: y=2x2     X       Y     0      1     1       2     2      16    -1       2    -2…

Q: Describe the x-values at which the graph is differentiable.

A: The given graph is the graph of the modulus function that is shifted downward by 1 unit and 2 units…

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: Use the graph of the function to estimate the interval on which the function is decreasing.

A: A function is said to be increasing when the y value increases as the x value increases.

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given : C(t) = 8(e-0.4t - e-0.6t)   To find the maximum concentration of the antibiotic during the…

Q: Find the linear function that coresponds to the graph shown to the right.

A: Given data:     The first point shown in the graph is: A=(x1,y1)=(0,-3). The second point shown in…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let the length of the rectangular field be y and the width be x. Assume the farmer divides the field…

Q: Sketch the graph of the floor function f(x)= |x +1|| over the interval [-3, 3)

A:

Q: Find the point on the graph of the function that is closest to the given point.

A: To find the point on the graph of the function fx=x that is closest to the point 4,0

Q: Use the graph of the function to find its average rate of change from x = -9 to x -5. Simplify your…

A: average rate of change be "R"points x=-9 , x=-5Rate of change is gevn by R=f(b)-f(a)b-aat x=-9 ,…

Q: A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: Given that a cell phone charges $49.95 per month +$14.02 taxes and $0.40 per minutes for calls…

Q: A company buys a computer system for $ 400,000. the value of the system is depreciating at the…

A:

Q: Sketch the graph of the function y = (1/3)x

A: we sketch the graph of the function y = (1/3)x

Q: Sketch the graph of the function. y = (1/3)ex

A: GIven:y=13ex To draw its graph.

Q: The rate of expenditures on public elementary and secondary schools, in billions of dollars per…

A: Given query is to find total expenditure.

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

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: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate…

A: Given that: Rate of fall of snow for the first 2 hours = 1 in/hrRate of fall of snow for the next 6…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 4)…

A:

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

A:

Q: Sketch the graph of the function: f(x,y)=10-4x-5y

A: Given:

Q: Sketch a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

Q: Graph and fully describe the function y = VT – 2. -

A: Explanation: The given function is: y=x3-2 Make the x-y table  x y 1 -1 0 -2 -1 -3 8 0…

Q: Match the function with its graph

A:

Q: Consider the graph of a function, which shows the number of customers in a department store, y,x…

A: the average rate of change of the function from x=6 to x=12, in customers per hour is given as