1.Graph the equation f(x)=5^2x−5

Question

1.Graph the equation f(x)=5^2x−5

2.If)f(x) is a linear function and given f (5)=9 f(8)= −5, determine the linear function.

a.) What is the slope?    (Be sure to leave your answer in reduced fraction form.)

b.) What is the yy-intercept?    (Be sure to leave your answer in reduced fraction form.)

c.) What is f(x)? 

f(x)=

3.The cost C(x), where x is the number of miles driven, of renting a car for a day is $26 plus $1.65 per mile.

What is the slope of the linear function and its units?  

What are the y-intercept and its units? 

What is the linear function,  C(x)=

Answer 1

5^2x - 5 is an exponential function with horizontal asymptote y=-5, x intercept =-4

as x approaches negative infinity, y approaches -5

as x approaches positive infinity, y approaches + infinity

y=mx+b two points (5,9), (8,-9) have a line through them with slope = m = -18/3 = -6

9 =(-6)5 + b

b = 39 = the y intercept =(0,39)

y= f(x)=-6x +39 is the linear function,

with slope=-6, intercept 39 where f(5)=9 and f(8)=-9

C(x) = 26 + 1.65x

slope = 1.65 units are dollars per mile, $/mile

intercept = 26, units are dollars, $