Find the average of the function over the given interval. Plot each function and its average on the same graph. f(x) = |-x + 6| over [-1, 7] Plot each function and its average on the same graph.

Q: Determine where the graph of the function is concave upward and concave downward, and find the…

A: Given data: The expression for the given function is f(x)=x4-4x3+10x-9. The expression for the…

Q: Use calculus to determine the interval(s) of increase and decrease for f.

A: We have to find

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The given function is fx=x+523-6, in the interval -7,2.

Q: Find the values of x for which the function is continuous. - 7 f (x) = 2 + 84

A:

Q: Find the domain of the following functions: 2.x-3 (a) f(x) = V2-V3-x

A: Domain of the function contains all the values of x that can be put in the function. There are some…

Q: find intervals where each function is continuous   a. f(x)=x^4-8x^3+7x^2     b.…

A:

Q: Which of the following functions has a factor of x + 2?

A: given ,         a factor   x + 2

Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

A:

Q: Find the domain and range of the function f(x) = −∣x + 1∣

A:

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

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: Is the function f(x) even, odd, or neither? 2x + 1

A: When -x is substituted for x in a function f(x) and the same function is obtained then the function…

Q: Evaluate the piecewise function at the given values of the independent variable. 5x +3 if x<0 f(x)…

A:

Q: Find the maximum and minimum points and the intervals where the function increases and decreases for…

A:

Q: Evaluate the piecewise function at the given value of the independent variable. (-4x – 3 ifx<-1 f(x)…

A: Given:   To determine: f(1)

Q: Determine f (x) for each of the given function. f (x) = 2x 3 -

A: SOLUTION-

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

A:

Q: Determine whether the function is even, odd, or neither. h(x) = x2 + x

A: Determine whether the function is even, odd, or neither. h(x) = x2 + x

Q: Find constants a and b, such that the function following function is continuous for -3 <x <0. -x +1,…

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 2x + 3 if x<0 f(x)…

A: Given : fx = 2x+3   if x&lt;02x+7  if x≥0

Q: A rectangle has a length of 16 inches and a width of 9 inches. If the length is increased by x…

A:

Q: Express the function h(x)=1x−9h in the form f∘g. If g(x)=(x−9), find the function f(x).

A: Topic = Functions

Q: Determine if the given function is decreasing or increasing using the given interval: f(x)=3x-3x^2…

A:

Q: Determine whether the function is one-to-one. h(x) = x2 - 2x

A: Given: h(x)=x2-2x Determine the value of the function at x=0. h(0)=02-2(0)=0

Q: Jx + 2 if x -1

A:

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: Evaluate the piecewise function at the given values of the independent variable. 5x + 3 if x 0 (a)…

A:

Q: Determine the intervals upon which the given function is increasing or decreasing. f(x) = 3r + 12x?

A: The given function fx=3x3+12x2 differentiate with respect to x f'x=9x2+24x       =3x3x+8

Q: Find f(x+h)-f(x) given the following function.f(x) =-9x2-2x

A: f(x) = -9x2 - 2x Hence, f(x + h) = -9(x + h)2 - 2(x + h) = -9(x2 + 2hx + h2) - 2(x + h)

Q: Find the domain and range respectively for function 1+x2

A: The given function 1+x2

Q: Evaluate the piecewise function at the given values of the independent variable. x+3 g(x) =. if x2…

A:

Q: Determine if the given function is odd, even or neither. f (x) = x2+2 3.

A:

Q: 2. f (x)= |x | + 6

A:

Q: Find the intervals of increase and decrease for the following function. f (x)=- (x-2) 1.

A: we have to find the increase and decrease of the function f(x)=x(x-2)3

Q: Q2-find the domain and range of these functions A) f(x)=4-x2 B) f(x)={-x D) f(x) = x

A: (A).  The given function is: f(x)=4-x2 Here  x∈(-∞, ∞). Hence the domain of the given function is:…

Q: Let f(x) = 7/2x -6. For what value of x does function f have the given value?  f(x) = 2/3 X= ?

A:

Q: Find a formula for f'(x) and determine the slopef'(-2) for the following function. f(x) = -4ex³+3

A: We will solve the following.

Q: Express the function h(x)=1x+7 in the form f∘g. If g(x)=(x+7), find the function f(x)

A: Given,

Q: Given the piecewise function below, find the value of which makes the function continuous. -I f(x):…

A:

Q: Find the values of a and b that make the following function differentiable for all x-values. f(x) =…

A: The given function is,

Q: Evaluate the piecewise function at the given value of the independent variable. f(x) = [x - 1 ={x -…

A: NOTE: Refresh your page if you can't see any equations. . here we want to find the value of f(-5)…

Q: (g) y = xV4 – x %3D -

A:

Q: Graph the function f (x) = x3 − x 2 – 6x to estimate the local extrema of the function. Use these to…

A:

Q: ) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

A:

Q: Evaluate the piecewise function at the given values of the independent variable. 3x +5 if x<0 f(x) =…

A: Given that: f(x)=3x+5,            if x&lt;03x+7,            if x≥0

Q: Evaluate the piecewise function at the givern values of the independent variable 5x+3 if x<0 f(X) =…

A:

Q: Find the domain and range of the function.

A:

Q: Use the functions f(x) =x - 3 and g(x) = x to find the value or function. (g-1 of-1)(-3) (g-1…

A: The given functions are: f(x)=x8-3     and    g(x)=x3

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Find the absolute maximum and minimum values of the function over the indicated interval, and…