Use the graph of the function f(x) =ax^2 +bx+c given below, what can you say about the value of a and the discriminant of the equation ax^2 +bx+c=0 The value of a___ 1. Is less than 0 2. Is equal to 0 3. Is greater than 0 The value of the discriminant 1. Is less than 0 2. Is equal to 0 3. Is greater than 0

Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

Q: The graph of the function fx) =/x is stretched vertically by a factor the transformed function…

A: Given- The graph of the function fx = x is stretched vertically by a factor of a and is translated 3…

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

A: i) To find a power function through points 2,18 & 14,8. The power function is given by: y=axb

Q: Consider the image attached of the graph of the function y = |x2 - 3x - 10|. Give the multipart…

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Q: Researchers in a certain country investigated how having daughters influences voting voting records…

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Q: The graph of a square root function has a domain of (0, ∞) and range of [1, 0). In two or more…

A:

Q: The graph of f is perpendicular to the line whose equation is 4x - y - 6 = 0 and has the same…

A:

Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: -5- - fx – 3;x 0 f(x):

A: Suppose we have piecewise function and need to find value of function at x=a . Follow below approach…

Q: Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point (6,…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: 9. y = 3x2 – 2vx at (1, -9)

A: To find slope.

Q: In 2000, 45% of the residents in a large city regularly used newspapers for getting news and this…

A: We will find the equation of P(x) as shown below where X=1,2 ,3....…...after 2000

Q: I get how to solve it but having a problem looking at the function on the graph. Can you show me how…

A: Given information: The polynomial is f(x)=2x3+5x2-11x+4. Calculation: Use the rational root theorem.…

Q: With utilization of the product rule for functions of one variable, show how it could be viewed as a…

A: Take the function, f(x,y) x,y are variable.

Q: In 2000, 53% of the residents in a large city regularly used newspapers for getting news and this…

A: Given Data: The percentage of residents regularly used newspapers in 2000 is: y=53% The decreasing…

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

A:

Q: Is the point (-2, 12) on the graph of the function f (x) = x(5 + x)(4 - x)?

A: we have to determine: is the point (-2, 12) on the graph of the function fx=x5+x4-x

Q: Find the interval or intervals where the function is increasing and where it is decreasing.  Please…

A: A function of x is said to be increasing on an interval when the derivative function is positive on…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A:

Q: ry to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Lets draw vertical lines on the given graph  The vertical lines intersects the circle at two points

Q: To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2…

A:

Q: sketch the graphof the function.f(x)=3^{-x^{2}}

A: we have to sketch the graph of f(x)=3^{-x^{2}}

Q: To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2…

A: V(x) is the modulus of difference between room temperature x and -2. So we have  V(x)=x-(-2)=x+2

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A: answer : 3.592 seconds y = 5sinx+3sinxcosx and y = -1 -1 = 5sinx+1.5sin2x therefore x = 3.592

Q: We have to graph the function f(x)=xln(x2). f(x)=xlnx2. Also, label all absolute/local max/mins,…

A: inflection points : No inflection point end behavior: no end behavior since f is not polynomial X…

Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include…

A: We can analyse function as follows

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: Exercises 38–40 will help you prepare for the material covered in the first section of the next…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Can a quadratic function have a range of (- ∞, ∞)? Justify your answer (Please dumb it down)

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Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [ -…

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Q: Find a function whose graph is a parabola with vertex (5, -2) and that passes through the point (4,…

A: To find a function whose graph is a parabola with vertex 5, -2 and that passes through the point 4,…

Q: The function f(x) = 2x° – 27x + 84x + 5 has one local minimum and one local maximum. - This function…

A: To find maxima and minima point we will first calculate critical points by pitting f'(x) = 0.

Q: Explain why the function f(x) = x³ – 3x2 +1 must have an absolute maximum and absolute minimum value…

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Q: Identify the graphs of the nonlinear functions. Select all that apply.

A: Given: The graphs of the functions To identify: The graphs of non - linear functions.

Q: Two students were playing the same game. The difference in points that each scored for the game can…

A:

Q: find doman and range    f(x) = -5 ; x = -3,-2,-1,0,1,2,3

A: Domain: The domain of a function f(x) is the set of all the values of x for which the function f(x)…

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The farmer has total of 2000ft. fencing. 1.5 sides of the plot of land border a river. w is the side…

Q: What are some things that nonlinear functions don’t have?

A:

Q: 10 10 -5 10

A:

Q: Determine where the graph of the function f(x)= 2x-V49-x is concave upward and where it is concave…

A:

Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: We opened this section with a study showing that late in the semester, procrastinating students…

A: Given;

Q: Find and graph a function that has both x-axis symmetry, and y-axis symmetry.

A:

Q: A quadratic function is given f (x) = x^2 + 6x + 8. In standard form f (x) = (x+3)^2 - 1. If the…

A: Consider the quadratic equation:

Q: Suppose for a company the function of income (in dollars) is given by R(x)=-0.12x^3+1,296x+12201…

A:

Q: Can a quadratic function have a range of ( - ∞, ∞)? Justify your answer.

A: we have to justify the given statement   The given statement is can a quadratic function have a…

Q: point

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Q: Find a function f whose graph is a parabola with vertex (2, 4) and that passes through the point…

A:

Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: You can  use the first derivative to find intervals of increase and decrease and accordingly write…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.