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- The graph in the picture below shows the function f(x) = 2^x+2 a) on the same coordinated grid above translate, the graph down 2 units and show what the new graph looks like b) what is the equation of the new graph? Which statement correctly compares the function shown on the graph with the function y=6x - 1? A. The function shown on the graph has a smaller rate of change, but a higher starting point. B. The function shown on the graph has a smaller rate of change and lower starting point. C. The function shown on the graph has a greater rate of change and a higher starting point. D. The function shown on the graph has a greater rate of change and a lower starting point.Which graph represents a function with the following criteria? The function is linear and increasing for -4 < x <-2. The function is nonlinear and decreasing for 2 < x < 4.
- The bar graph shows your chances of surviving to various ages once you reach 60. The functions f(x) = -2.9x + 286 and g(x) = 0.01x2 - 4.9x + 370model the chance, as a percent, that a 60-year-old will survive to age x. Solve; a. Find and interpret f(70). b. Find and interpret g(70). c. Which function serves as a better model for the chance of surviving to age 70?Evalue the following according to the graph: a) (f-g)(-2) b) (gf)(1) c) (g ◦ f)(2)The bar graph shows your chances of surviving to various ages once you reach 60. The functions f(x) = -2.9x + 286 and g(x) = 0.01x2 - 4.9x + 370model the chance, as a percent, that a 60-year-old will survive to age x. a. Find and interpret f(90). b. Find and interpret g(90). c. Which function serves as a better model for the chance of surviving to age 90?
- Attached is the graph of the function g(x) = |x| What would the graph of kg(x) when -4 < k < -1 look like?Which function correctly compares the function shown on this graph with the function y = 4x + 2? A. The function shown on the graph has a smaller rate of change, but a higher starting point. B. The function shown on the graph has a greater rate of change, but a lower starting point. C. The function shown on the graph has a greater rate of change and a higher starting point. D. The function shown on the graph has a smaller rate of change and a lower starting point.With aging, body fat increases and muscle mass declines. The line graphs show the percent body fat in adult women and men as they age from 25 to 75 years. Use the graphs to solve; The function p(x) = -0.004x2 + 0.25x + 33.64 models percent body fat, p(x), where x is the number of years a person’s age exceeds 25. Use the graphs to determinewhether this model describes percent body fat in women or in men.
- How does the graph of g(x)=4^x+5 compare to the function represented by the table at the right? X|-2,-1,0,1,2 Y|17/16,5/4,2,5,17The graph of the function g(x) contains the point (6,15). What point must be on the graph of y=5g(x+1)? Enter your answer as a point (a,b). y=5g(x+1) contains the point:Taxi Miles The Inner City Taxi Company estimated,on the basis of collected data, that the number of taximiles driven each day can be modeled by the function Q = 489L0.6, when they employ L drivers perday.a. Graph this function for 0 <= L <= 35.b. How many taxi miles are driven each day if thereare 32 drivers employed?c. Does this model indicate that the number of taximiles increases or decreases as the number ofdrivers increases? Is this reasonable?d. Is the graph of this function concave up or concavedown? What does this mean?