Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) g(x) = x4 − 18x2 + 5

Q: x² + x – 2 ? What is the point of discontinuity of

A: here is we see that function is not define when x=2

Q: Find the value of m if f(x) = (6m +1)x² + 4x - 3 touches the x-axis at only one point

A: To find: The value of m if  f(x) = (6m+1) x2 +4x-3 touches the x-axis at only one point.

Q: The heights of two different projectiles after they are launched are modeled by the f(x) and g(x).…

A: Given, The function f(x) is defined as: fx=-16x2+55x+19 The quadratic function g(x) values are shown…

Q: Find the value of x and the length of FD. D 2x - 14 x+2

A: Given,

Q: A fast-food restaurant has a cost of production C(x)=12x+90 and a revenue function R(x)=7x. When…

A: Given,        C(x)=12x+90 and R(x)=7x

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A:

Q: f(x) = {k(6x (6x + 2x³) 0 Find the value of k. 0≤x≤B otherwise

A: Solution is  given below

Q: f(x+h) – f (x) h f(x) =5x²+ 2x– 3 4. Find the difference quotient, , of (a) g(x) =- (b)

A:

Q: Let g(x)=2x2−11x. Find all solutions to the equation ​g(x)=40.

A: Since given equation is quadratic. So, we get two solution ( x=-5/2 & x=8 ) of this problem.…

Q: The equation f(x) = x³ – 9x has a root in the interval [3,5] о yes O no

A:

Q: The function f(x)=3x2 +9x-3 has x-intercepts p and q. What is the value of p-pq+q?

A: We can use the concept of quadratic equation In order to solve the given problem.

Q: The graph of f(x) = x³ + 6x² + 7x has a point of inflection at r = -5 -2 1 -1 O 3

A: Consider the following function: fx=x3+6x2+7x Differentiate fx with respect to x:…

Q: Given f (x) = 2æ? - = 2x2 4.x +9 and g (a) 4x +1: Find (fog) (-1)

A:

Q: What is the equation of a quadratic function y=f(x) with two irrational zeros, negative square root…

A: The equation of a quadratic function y=f(x) with two irrational zeros, negative square root of h and…

Q: (a) Write down the piecewise form for the function |2x – 3|. (b) Hence or otherwise find all…

A: we have to write the given function in piecewise

Q: Let f(x)=14x^3+28x^3-46x and g(x)=2x+7. Which is the solution set to the equation 1/12 f(x)= g(x)?

A: I think you have mistaken the question it will be 28x2 then the answers are shown below.

Q: Let  ƒ(x) = 6x2 − 2 and g(x) = x2 − 2x + 5 to find the value. ƒ(t + 1)

A: Given: fx=6x2-2gx=x2-2x+5 The objective is to find the value of ft+1

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A: Topic : concave upward and downward

Q: ind the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A: Explanation: Given that,  g(x)=4x3-6x2+6x-8 Firstly differentiate with respect to x The first…

Q: f(x) 65x 50x2 16 Q.3. 1. Find the zeros, if exist 2. Determine whether the function has a maximum or…

A: Given function is, fx=65x+50x2+16

Q: Find the zeros of the function algebraically. <2 – 17x + 72 f(x) = 3x

A:

Q: Solve the equation x- 5x +2x + 8 = 0 given that 1 is a zero of f(x) = x° - 5x+2x + 8. 5x +2x +8.

A: Solution :-Given that -1 is a zero of f(x) = x3 - 5x2 + 2x + 8So, (x+1) must be factor of f(x)f(x) =…

Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: 21. Find the discriminant of the quadratic function f(x) = x² + 18x + 81. O 648 O 324 O -324

A:

Q: 8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x…

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

A:

Q: 3. Determine the x-intercept(s) of the quadratic function f(x) = x² + 10x + 26

A:

Q: A fast-food restaurant has a cost of production C (x) = 12x + 88 and a revenue function R(x) = 8x.…

A:

Q: The function  y = 4 − 16x2  intersects the x-axis at the following values of x.

A: Consider the parabola equation y = 4-16x2. Remember that the yth coordinate of the points on the…

Q: Find the domain of f(x)=2x+10/3x+4 Enter the solution in interval notation.

A: Consider the function  f(x)=2x+103x+4

Q: A fast-food restaurant has a cost of production C(x)=13x+90 and a revenue function R(x)=8x. When…

A:

Q: The given figure shows that when a football is kicked, the nearest defensive player is 6 feet from…

A: (Note: we are entitled to solve only one question at a time and upto 3 subparts only)  Given: The…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 99x2/3 − 6x…

A:

Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

A:

Q: (b.) Given that x-3 is a factor of the function, h(x)= 6x -11x – 26x +15, find the zeros of the…

A:

Q: A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x.…

A: Sol Cx=14x+160,R(x)=6xHence , Profit Function P(x) = R(x)-C(x)

Q: find the value of (a) if the equation: f(x)=x2 – 2ax+9 has one root: -

A: The given equation is fx=x2-2ax+9. It is given that the equation has only one root. It is known that…

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

A:

Q: Consider the quadratic function f(x) = –2x2 + 4x + 2. Find the y- intercept and the equation of the…

A:

Q: A fast-food restaurant has a cost of production C(x)=11x+95 and a revenue function R(x)=6x. When…

A:

Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…

Q: f6メー7x+Gx-8

A:

Q: The functionf is defined by f(x) = 2x + V5x-6-3, which of the the following represents the solutions…

A: Given, f(x)=2x+5x-6-3 We have to find the solutions for the equation f(x)=0

Q: Find the inflection point, if any, of the function. (If an answer does not exist, enter DNE.) g(x) =…

A: We have to find the inflection point

Q: 13. A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells x…

A:

Q: The vertex of the quadratic function f(x) = 2x² + 8x+5 is a) (2,3) b) (-2,–3) c) (-2,3) d) (2,-3)

A:

Q: Find the domain: 1.) x2 – y² ± 0

A: First we consider the given function is equal to a constant number which is not equal to zero and…

Q: Find the zeros of the function algebraically. x2 – 10x + 16 f (x)= 7x

A: