Sketch the graphs of the following function.   y = ex/2

Q: Which of the following functions has a graph that is symmetric about the y-axis?(a) y = √x (b) y = x…

A: Givena)y=x , b)y=x , c)y=x3As per our guideliness, we are supposed to solve only three sub…

Q: Given the graph below, which of the following functions best describes its discontinuity?

A: Graphing a function is nothing but substituting various values of independent variable in to the…

Q: Do the graphs of the functionshave any horizontaltangent lines in the interval 0≤ x≤ 2p? If so,…

A: We first find dy/dx using the quotient rule

Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: Which of the following functions has a graph that issymmetric about the y-axis?(a) y = 2x (b) y = x…

A: We have to see which of the following equation is symmetric about the y - axis.

Q: Sketch the graph of the reciprocal of each function. c) a) y f(x) yaf(x) 4- -2 -2- 4 -2 2. 4. -6 2…

A:

Q: Find y' of the following functions:

A:

Q: Sketch a graph of this function using calculus and use it to answer the next 4 questions. 3 x y = +…

A:

Q: The graph of a function f is given below. JW y = f(x) X

A: from left graph of f(X) is increasing , f'(x) > 0  after that slope of line is steeper ,…

Q: Sketch the graph of each of the following functions: (a) y = x (b) y = x2 (c) y = √x (d) y = x3

A: (a) Sketch the graph of y=x.

Q: A woman 5 ft tall is standing near a street lamp-that is 12 ft tall, as shown in the figure. Find a…

A: A women 5 ft tall is standing near a street lamp that is 12 ft tall.

Q: Use the graph of the given function f(x) to find the value. 1(3) 1(3) =O

A: Given graph,

Q: Find the following function values without using a calculator.

A: Given: sec π To Find: The value of the given function

Q: Differentiate the following function.   y = xe

A:

Q: Differentiate the following function.   y = (ex + 1) / (x - 1)

A:

Q: Which of the following graphs shown below represents a function? I. III.

A: Here we have to determine which of the following graphs represent a function.

Q: Use the graph of each function below to sketch a graph of the derivative 2 a) b)

A: To draw the graph of the derivative knowing the graph of the original function

Q: Graph the function, not by plotting points, but by starting from the graph of y = et in the figure…

A:

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: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 (a) f'(0) (b) f'(1) (c)…

A: Given, The graph of function y = f(x).

Q: Which table is related to the parent function of y= z?

A:

Q: snip

A: To sketch the graph of the following function a) y=x Let us find the plotting points by giving…

Q: Use the graph y=f(x) to graph the given function.

A: just half all of the output values to obtain the graph,

Q: Identify the graph corresponding to the following function (t > 0): y = tu (t – 1) - tu (t – 3) 1 +…

A:

Q: 0 1

A: Here, we are going to apply vertical line test.

Q: The inverse of the graph of function j(x) below will be a function:

A:

Q: The following is the graph of a function f(x).

A: Given that: Graph of f(x)

Q: _Sketch the graph of the following function 1 y = -2 tanx -1

A:

Q: Plot the following functions Oyニ-12ス+1

A:

Q: Plot the Graph of the following function: f(t) – f(t) U(t- b) f(t)

A: Here, f(t) is a unit step function having a rise at t=b. It is graphed in the step 2.

Q: Which of the following graphs is one-to-one function? a. Ob. c. d.

A: One-to-one function: A function is called one-to-one function if there exists exactly one element in…

Q: Graph the following function over the indicated interval. y = −5+ e ¹+x; [-5,2]

A:

Q: The graph of a derivative f'(x) is shown. Given f(0)=50, determine the values. f(1)= f(2)= f(3)=…

A: Consider the derivative of the function f(x) given by f'(x). The area between the graph of the f'(x)…

Q: Write a formula for a function g whose graph is similar to f(x) but shifted to the left 9 units and…

A:

Q: Given to the right is the graph of a function f', the DERIVATIVE of some function f. Among the four…

A: Consider the given graph of the first derivative f' of a function f. (a) From the graph of f', we…

Q: Graph the following function using the vertex and axis of symmetry. 1 H(x) = (x- 4)? Use the…

A:

Q: Sketch the graph of the following function: y = -tan E + (x -*

A:

Q: Let f(x) be the function graphed below. Solve: (a) f(x) > 0

A: From the given Graph of f(x) , We can conclude that- Graph is sketched on the interval (-8,9), So…

Q: Use the given graph to estimate the value of each derivative. y = f(x) 1 1 (a) f'(-3) |-1.5 (b)…

A:

Q: 3) Use the following information to sketch the graph of the function, y = f(x)

A:

Q: Sketch the graph of each of the following functions. (a) f(x,y) = cos x (b) f(x, y) = 3x? + 3y? – 6x…

A: Sketch the graph of function

Q: Find the exact value of fo f(x) dz for the function f(x) graphed below.

A:

Q: Graph the function, not by plotting points, but by starting from the graph of y = e* in the figure…

A: Given graph is

Q: Differentiate the following function with respect to y. eª + 3^y = 1

A: We will find the derivative.

Q: Sketch the graph of the following function 1 y = -2 tan5x -1

A: We will skecth graph of y=-2tan12x-1 with the help of shifting, reflecting and scaling the graph of…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: