g. Graph y = f (x) and y = f- (x) on the same coordinate system.

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: Sketch the curve: f(x) = x* – 6x²

A: given function f(x)=x4-6x2we have to sketch the curve put the value of x=-2  , we get f(-2)=-8 put…

Q: Sketch the graph of the function y = 3−∣x∣

A: We make a table for the given function

Q: The graph of a function y=f(x) can have more than one of which type of intercept

A: Given query is to find which intercept can be more than one.

Q: Sketch the graph of y = e-x.

A: We have to sketch the graph of the given function    The given function is   y=e-x

Q: In Problem,determine whether the equation defines y as a function of x. x=y2

A: A function is a relation between an input variable and an output variable wherein each input…

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Does the equation 3x + y2 = 10 define y as a function of x?

A: We will solve the equation for y first.

Q: Match the function with its graph. y = 5(x + 2) - 4 5- -4 -6 -5 4 -3 -2 1 4 6 -6 -5 -4 - -2 -6 -5 4…

A:

Q: Describe the graph of f (x) = ex

A:

Q: To graph the sum of two functions y = y 1 + y 2 , at each point add the ___-coordinate from the…

A: To graph the sum of two functions y = y 1 + y 2 , at each point add the x-coordinate from the point…

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

A: The given function is

Q: Graph equation f(x) = ∛(x + 4) and f -1, function, or system in a rectangular coordinate system. If…

A: We have to Graph equation f(x) = ∛(x + 4) and f -1, function, or system in a rectangular coordinate…

Q: True or False The graph of a function y = f1x2 alwayscrosses the y-axis.

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

Q: Does the graph shown below represent y as a linear function of x?

A: Linear function are those whosegraph is a straight line.

Q: At what point is the function in Exercise continuous?

A: Given function is: y=1x-2-3x We have to find the set of points where the above function is…

Q: The z-intercept of the linear function

A:

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

Q: Sketch the graph of the function y = 2x

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Which is always a characteristic of the graph of a linear function?

A: Explanation of the solution as follows:

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Find the points on the graph of the function that are closest to the given point. Rx) - х2, (0, 7)…

A: A detailed solution is given below.

Q: Estimate the slope of the function (x) at x = -1 using the graph below.

A: Given function is passing through (-1,-1) and (0,-1) and function f(x) has two points at which…

Q: 1-x 4. Determine if the equation y=- is a x² -2x function

A:

Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

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: sketch the graphof the function.y = 4x

A: Given: The function, y=4x.

Q: How do you prove step by step that this equation: y=2x+1 is a function?

A: The solution are next step

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: What does it mean for a function to be defined implicitly by an equation?

A: An implicitly defined function is a function that is presented as the solution of some equation or…

Q: Match the function with its graph. y = 3(x + 3) – 2 6- -5- 5 4- -6 -5 5 6 -6 -5 -4 -6 -5 5 6 to -2…

A: Given that the equation. So first simplyfy it. Then here a>0 so it is upward parabola and…

Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)>(x + 2)?

A: Given inequality is: gx=x2+4>x+2 Given point is (4, 14).

Q: i. Find the equation of a power function through the points (2, ) and (, 8). y ii. Now, find the…

A:

Q: 8. Which equation does not represent y as a function of x?

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A: I use second derivative test to find out where distance is minimum

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

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

Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

A: Consider the given: fx=x4−6x2Apply exponent rule:     ab+c=abacfx=x2x2−6x2Factor out common term…

Q: Determine whether the equation defines y as a function of x :  lxl - y = 2

A: Vertical line test: Vertical line is use to check graph is graph of function or not. Vertical line…

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

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

Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: ) Sketch the curve: f(x) = x* – 6x²

A: Given function is fx=x4-6x2

Q: Sketch the graph of a function y = x".

A: If x>0 Then y = xx If x<0  Then y =(-x)-x

Q: Describe the graph of f(x) = ex

A: Given: f(x) = ex To describe: The graph of f(x) = ex

Q: Sketch the graph of the function. y = csc x/2

A: We have to graph of y=csc x2 First, we will make a table of cosec x2

Q: Write the equation of a cubic function, f(x), with zeros at -5, 0, and 2, and end behavior f(x)→ ∞…

A:

Q: Sketch the graph of the function. y = −sec 2 x

A: Standard form of Secant function is  y = A sec ( B x − C ) + DGiven  y = − sec ( 2 x )A = − 1 , B =…