Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = 4 *-intercepts at x = -4 and x = -6 y-intercept at 8Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -4 x-intercepts at x = 2 and x = -3 Horizontal asymptote at y = 9 EWrite an equation for the function graphed below 4 2 4 -6 -5 -4 -2 -1 -1 Q + V=Write an equation for the function graphed below. The y intercept is at (0,-0.3) -6 -5 -4 -2 2 5 - - - - y=\fGraphing Asymptotes for a Rational Functions Two copies of the some Rational Function are shown below. On the groph below draw the Horizontal On groph below, drow the the Vertical Asymptote Asymptote and write the equation for the and write the equation for the Vertical Asymptote horizontal asymptote underneath. underneath. 1 f( I) = +2 f() = 1 + +2 3- -4 -3 -2 -1 1 -3 -2 -1 4 Clear All Draw: Clear All Draw: Horizontal Asymptote: Vertical Asymptote:Graphing Asymptotes for a Rational Functions Two copies of the some Rational Function are shown below. On the groph below draw the Horizontal Asymptote and write On graph below, draw the the Vertical Asymptote and write the equation for the horizontol osymptote underneath. the equation for the Vertical Asymptote underneath. f( I) = - -2x -2c 1 +3 f ( I) = - + + 3 10 10 10 -9 -3 -7 -6 -5 -4 -3 -3 - 1035 6 7 5 9 16 10-9 -3 -7 -6 -5 -4 -3 -2 - Clear All |Draw: Clear All |Draw: Horizontal Asymptote: Vertical Asymptote2x - 3 Draw a graph of f(x) = -r+1 by first placing the horizontal and vertical asymptotes, then plotting an additional point on the graph. -5 -4 3 -2 -1 2 4 Clear All Draw:Find a formula for the exponential function passing through the points (-2, 16 ) and (2, 48). y =WOOD are invested in a bank account at an interest rate of4 percent per year. Find the amount in the bank after 6 years if interest is compounded annually. Find the amount in the bank after 6 years if interest is compounded quaterly. Find the amount in the bank after 6 years if interest is compounded monthly. Finally, find the amount in the bank after 6 years if interest is compounded continuously, A bank features a savings account that has an annual percentage rate of r = 3.3%% with interest compounded quarterly. Jacob deposits $5,000 into the account. kt The account balance can be modeled by the exponential formula A(t) = a(1+ , Where A is account value after years , a is the principal (starting amount), + is the annual percentage rate, kis the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? r k (B) How much money will Jacob have in the account in 7 years? Amount = $ Round onswer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY = Round answer to 3 decimal places.R G Match each equation with a graph above 2(1.26) a. red (R) cy 3(1.43)I b. blue (B) 3 v 3(0.87)7 C. green (G) ev 3(0.71) d. orange (O) d v 3(1.26)7 e. black (K)Starting with the graph of f(x) = 8", write the equation of the graph that results when: (a) f(x ) is shifted 6 units downward. y = (b) f(x) is shifted 3 units to the left. y = (c) f(@) is reflected about the x-axis and the y-axis. y =