1. The graph of a function y=f(x) always crosses the y-axis. True or False2. Every graph represents a function.A. the statement is true because every graph associates a unique x-value for each y-valueB. the statement is true because every graph associates a unique y-value for each x-valueC. the statement is false because a graph that crosses the x-axis two times does not represent a functionD. the statement is false because a graph that crosses the y-axis two times does not represent a functionI need those answers solution

Q: Draw the graph of a function for which the conclusion of Rolle’sTheorem does not hold.

A: To draw the graph for which Rolle's theorem does not hold.

Q: Sketch the graph of the given function. y2 if -2 < x < 0 3 if 0 < x < 3 X f(x) = -10 O O -10 -5 -5…

A:

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx&gt;1. Recall the fact that formula for derivative of a function f at a…

Q: The graph of f(x)=(1.68)xf(x)=(1.68)x is shifted right 33 units, stretched vertically by a factor of…

A: The given function is fx=1.68x. shift right 3 units, stretched vertically by a factor of 2. Then…

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: Suppose that the graph of a function f is known. Then thegraph of y = f( - x) may be obtained by a…

A: Suppose that the graph of a function f is known. Then thegraph of y = f( - x) may be obtained by a…

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

A:

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

A:

Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: Compare the graphs of the functions. Y = In and Y, = Inx - In 2

A: Given: The functions given are  Y1=lnx2   &amp;  Y2=ln x -ln 2

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: 1. Identify a function that would have this dom ain and range and draw its graph: D: (x/x E R, x +…

A: The objective is to identify a function that would have the given domain and range and draw the…

Q: Suppose that the graph of y=f(-x) a function is known.Then the graph of may be obtained by a…

A: Given: Suppose that the graph of y=f(-x) a function is known. Then the graph of may be obtained by a…

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: 1 Sketch the graph of the function f(x) = er +1

A: f(x)=ex-1ex+1

Q: 3 -x'+8 As x→-0, f(x) → ), and as x→0, f(x) → |

A:

Q: -2 if x 2

A: Given function is : fx=-2 , if x≤0x2 , if 0&lt;x&lt;2-x , if x≥2 To draw the graph .

Q: How is the graph of the entire function different from the graph for the real-life situation?  2)…

A: Answer for sub question 1; Given Cn=600+115nn Then, C'n=-1n2600+115n+1n115=-600n2-115n+115n=-600n2…

Q: 2. Use the graphs of y=f(x) and y=g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: The given graph shows that the function y=fx is a cubic function while y=gx is a quadratic function.…

Q: 3 10. Sketch the graph of the following function: y= 2cos(-x+ 90") - 1, – 360° <x<360.

A:

Q: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: Suppose f(x) is a known function with a known graph. Give a formula for a function, g(x), whose…

A: f(-x) is reflection of f(x) about y axis.

Q: Based on the evidence shown, which of the following statements is true? The relationship is not a…

A: Given:

Q: Apply the tranformations indicated for the graph of the general functions given | g(x) (-1,-4) х /2…

A: Note: Points are not labelled correctly in the given graph, I have corrected them. Solution: All the…

Q: 6. Make a clear, well-labeled graph of the piecewise-defined function below. (-x-10 if x 10 if f(x)…

A: We want to plot the graph.

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: Suppose that the differentiable function y = g(x) has an inverse and that the graph of g passes…

A: Given,

Q: se the vertical line test to determine which of the following graphs are graphs of functions.…

A: Answer and explanation is given below...

Q: (x) > 0 and f"(x) > 0 for all x y y y

A:

Q: . Here is a graph of f(x) = e² and a graph of g, which is for the function g.

A: Introduction: For a function f(x), When c is subtracted from x, then f(x-c)is known as horizontal…

Q: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the…

A: Given A tortoise and a hare are competing in a 1200-meter race Tortoise has a 750 meter head start…

Q: Suppose that the graph of f(x) is given below. Which of the following is the smallest?

A: Given that:

Q: A cell phone plan charges $49.55 per month plus $14.02 in taxes, plus $0.60 per minute for calls…

A: Need to write down the piecewise function.

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

A:

Q: he hypotenuse of an isoscles right triangle is to be made into a circle C. Express the area A of C…

A: Given that: An isosceles right triangle, whose hypotenus was made into a circle C.Length of the legs…

Q: Which of the following describes the end behavior of the graph of the function f (x) = 2x³? As x →…

A:

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+ 9. 8+ 7+ 6+ 5- 4+ 10 -9 -8 -7 -6 -5 -4…

A: The point of inflection for the graph is obtained as .

Q: Select all values of x where the graphed function is NOT differentiable. y 4 4- 3. 2. -6 2 3 4 56 -3…

A: To find the correct option

Q: (a) Consider the following graph of a function y = f(x): 2 2 3 -2

A:

Q: Sketch the graph of the function f to determine the type of discontinuity at each x-value. x2 +2, if…

A:

Q: Suppose that the graph of a function f is known. Then the graph of y = f( - x) may be obtained by a…

A: Suppose fx be a function such that y=fx First, draw the graph of the function y=fx

Q: Prove that the only function whose graph is symmetric with respect to both the y-axis and the origin…

A:

Q: Select the graph of the function f x)=-x. Then find the value off x) when x =-5. 10 10 4 41 2 A -4…

A:

Q: Given a function Ax) and g(x) --x+1. how would the graph of y-fx) compare to the graph of y- fz(x))?…

A:

Q: 1. Consider the function f(x) whose graph is given below. -1 0 1 -5 -4 -3 -2 2 3 6.

A: Answers are given below

Q: The owner of a luxury motor yacht that sails among the 4,000 Greek islands charges $550 per person…

A: Consider the provided question,(a)Given at least 20 people sign up for the cruise and charge for the…

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |x|.…

A:

Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.