answer : June, July and August. Show To solve this, you have to break it down and understand what the question is asking. y = relationship between loan balance the equation is y = 2,570 - 125.50x the question asks 'In what months does the loan balance, y, meet the condition, $1,600 < y < $2,000?' $1,600 < y < $2,000 put in words states that 'the loan balance is more than $1,600 but less than $2,000' so basically, in what months was the loan balance more than $1,600 but less than $2,000. We know that January's loan balance is $2,570. To find the loan balance of the previous months : start by subtracting $125.50 from January's loan balance to find the loan balances of the previous months 2,570 - 125.50 = 2,444.5 (this is December's loan balance, it does not meet the condition.) Now we know any month before June cannot meet the condition because their loan balance will be less than $1,600  Transcribed Image Text:18. Which of the following functions has a graph that opens upward? A. f(x) = (x – 7)² – 3 B. f(x) = 7 – (x + 2)² C. f(x) = - (x + 2)2 + 1 D. f(x) = – (x – 2)² – 10 19. Which of the following functions has a graph that opens downward? A. f(x) = (x + 8)² – 5 B. f(x) = (x + 2)² + 9 C. f (x) = 8+ 3 (x + 2)² D. f (x) = 12 – 3 (x + 2)2 %3D 20. What can you say about a parabola that opens downward? A. It has a minimum value B. It has a maximum value C. both and b 21. How would you describe the parabola f (x) = -x? A. Its vertex is at point (0,0) and it opens upward. B. Its vertex is at point (0,0) and it opens to the left. C. Its vertex is at point (0,0) and it opens downward. D. Its vertex is at point (0,0) and it opens to the right. 22. What do you call the graph of a quadratic function? B. Parabola C. Axis of symmetry A. Vertex Youth Army of Masigasig National High School build 2 squares. The Tom more than that of the Q: . If x is large, which function grows faster, f1x2 2xorg1x2 x2? 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If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where… A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past… Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in… A: Given that Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in… A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual… Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, - A: Click to see the answer Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal. A: Click to see the answer Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)… A: Please check step 2 for the solution. Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing? A: Given Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002 A: Given: The function f(x)=1x Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by… A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x… Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces… A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the… Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3 A: Click to see the answer Q: 8. Suppose that the function f(x) is concave down on the interval (2,5). Can you conclude that the… A: No, we have functions that are concave in the interval (2,5) but not always decreasing in the… Q: 6. a. 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Let f(x) be the monthly… A: Solution: Q: What is the value "L", if exists, when a variable "x" in f(x) approaches a certain number "d" in the… A: Given: A function fx is given. To Find: What is the value "L", if exists, when a variable "x" in… Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ? A: Given, fx=2x or gx=x2To find : if x is large, then which function grows faster. Q: 2. Consider the function below. x + 2, f(x) = {1 (7x +6, 2 <x< 8 8 < x < 16 a) State the domain and… A: Given :- The given function below is : fx = x+2, 2 ≤ x ≤812x + 6, 8 ≤ x ≤16 To Determine… Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the… A: Formula used: Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x) A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as… Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75… A: Click to see the answer Q: Determine the equation of the piecewise function given on the right: Ay 10- -...- r(x) XSA f(x) =… A: Click to see the answer Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b? A: Click to see the answer Q: 1. Find the intercepts of the function. f(x)-x* +2 а. A: Given data÷ Q: Assume that it costs that same company approximately C(x)=71,230++6,670x+0.03x^2 dollars to… A: Given data- C(x)=71,230+6,670x+0.03x^2. We have to find the average cost function= C¯(x). Q: /hich of the following best describes the end behavior of a function with an odd degree and negative… A: We have, Odd degree with negative leading coefficient. Q: Find the net change in the value of the function between the given inputs. f(x) = 3x - 2; from 1 to… A: f(x)=3x-2now we have to find the net change in the value of function from 1 to… Q: In the fucntion: f(x)= (12-3x)(e^x) When is the function concave up and concave down in interval… A: Given,f(x)= (12-3x)(e^x) By definition, Q: Suppose that value of wine respect to time is given following function V 100e ve. How long will it… A: Click to see the answer Q: Suppose that value of wine respect to time is given following function V = 100e ve. How long will it… A: Click to see the answer Q: Suppose that value of wine respect to time is given following function V 100e ve. How long will it… A: here we need to find the time when pv will be maximum. the solution following. Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing… A: Click to see the answer Q: Suppose x) =x*+x³– 6x² Determine the value of x vhere f has a relative maxmum value. A: Click to see the answer Q: Find the value k that makes the function continuous. kx + 14, х > 2 f (x) = 11x + 2, x < 2 A: Click to see the answer Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars… A: Please see the explanation below Q: Suppose that for a company manufacturing bluetooth and wireless neadsets, the cost and revenue… A: Click to see the answer Q: 4. Find the extrema of the function f(x) = Vx (x + 1) and the intervals on which its graph is… A: Click to see the answer Q: 4. Find the extrema of the function f(x) = Vx (x + 1) and the intervals on which its graph is… A: Click to see the answer Q: 14. Explain why there is no value of k that will make the following function continuous. 5x, if x 3… A: Click to see the answer Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the… A: Click to see the answer What is the line of a function called?The first line of the function definition is called the header; the rest is called the body. The header has to end with a colon and the body has to be indented.
Which of the following is the linear function?A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the gradient of the line, and b represents the y-axis intercept (which is sometimes called the vertical intercept).
What is a function whose graph is not a straight line?A function whose graph is not a straight line is called a non-linear function.
How do you know if a graph is a function?Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
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Which of the following function has a graph that is a line?
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