The table shows a function. Is the function linear or nonlinear? X y 3
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A: Given x 0 2 6 12 20 30 y -1 -1 -1 -1 -1 -1
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A: To find the equation of the function
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A: The data in the table. We have to find the slope of the function.
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A: If you like the solution then please give it a thumbs up.... The Answer is: Result :…
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A: A table of x and y values
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A: first we need to determine change in x which is 10, 8 and change in y is 11,4
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Q: Use the Vertical Line Test to determine whether the graph represents y as a function of x.
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Q: Determine whether the function is linear or nonlinear.If the function is linear,state its slope.
A: Given table is
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A: From the graph ,we get
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A: we know that a straight line given by formula y-b=m(x-a) where m is slope of line
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Q: Does the table represent a linear or nonlinear function? X0 1 2 3. y 28 19 12 7 O inear O nonlinear
A: Explanation of the solution is given below...
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A: To find the linear function that relates y to x, we use the definition of linear function.
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Q: Write a linear function with the given values f(-4)=2 and f(6)=-3 f(x)=_______________________
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Q: Which function is linear? B.
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Q: write a linear function f with the values f(5)=1 and f(0)=-5 f(x)_________________________
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Q: Find the linear function with the following properties. f(-6) = – 10 f(-2) = -1
A: Given that f(-6)=-10 and f(-2)=-1 Find the linear function from the given properties
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A: Let the linear function be f(x) = ax+b The point (1,-3) satisfies the linear function, therefore -3…
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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- How are the absolute maximum and minimum similar to and different from the local extrema?One function that arises throughout biological applications is a sigmoidal curve. It often is the natural result of phenomena that are bounded between some minimum and maximum value. For example, population size that is bounded between 0 (you can’t have negative #s of individuals) and some maximal carrying-capacity. Or, as we will focus on here, the probability of having a heart attack P given a risk factor such as LDL level ‘bad cholestrerol’, c. Suppose LDL cholesterol is measured on a scale of 0 (low levels) to 5 (high levels), then... Sigmoid Curve: P (c) = 1/1+e-(c - 2) What is the independent variable? A) x B) P(c) C) c ---------------- What is the y-intercept? A) 1 B) 0.119 C) There isn’t one --------------- What is the range of P(c)? A) [0,5] B) [0.12,1]In economics we are often faced with causal problems where the endogeneity arises because of simultaneity. A classic example is that if you are interested in estimating a demand curve, the issue is what you observe in the data are equli- birum and prices and quantity which is not only a function of demand but also a function of supply. In this excercise we will generalize the problem of simultaneity bias. Consider a situation where we are interested in the effect of Ti on Yi, i.e. obtaining a consistent estimate of α. But Yi also effects Ti. Let Xi be some exogenous covariates affecting both Yi and Ti. Let us imagine you have an exogenous variable Z which only effects Ti but does not directly effect Yi. In particular, consider the following structural equations: Yi = αTi+Xi′β+ui (1) Ti = ρYi+Xi′γ+Ziδ+νi (2) where E(ui | Xi,Zi) = 0 and E(vi | Xi,Zi) = 0 (a) Show why you cannot you use OLS to estimate α consistently in model 1? (b) Solve for the reduced form equation for Ti…
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- Suppose Connie used regression to predict the height of a woman’s current boyfriend by using her own height as the explanatory variable. Height was measured in feet from a sample of 100 women undergraduates, and their boyfriends, at De La Salle Lipa. Now, suppose that the height of both the women and the men are converted to centimeters. The impact of this conversion on the slope is: the magnitude of the slope will change neither the sign nor magnitude of the slope will change the sign of the slope will change both the sign and magnitude of the slope will change4. The table shows the population of Nepal (in millions) of the given year. Use a linear approximation to estimate the population at midyear in 1992. Use another linear approximation to predict the population in 2020.Marriage Prospects Data released by the Cense Bureau in 1986 indicated thelikelihood that never married women would eventually marry. The data indicated thatthe older the women, the less the likelihood of marriage. Specifically, two statisticsindicated that women who were 45 and never married had an 18 percent chance ofmarriage and women 25 years old had a 78 percent chance of marriage. Assume thatlinear fit to these two data points provides a sonable approximation for the functionp-f(a), where p equals the probability of marriage and aequals the age of a nomarried woman(a) Determine the linear function pfla(b) Interpret the slope and p intercept(c) Do the values in partem resonable?