Algebra Nation Section 7

What is the function notation for the second term in a sequence?

• A(1)

• 2a₁

• A(2)₃

• A²

What is the recursive formula for a geometric sequence?

• ax+b

• a_n=a_nxr^n-1

• ax²+bx+c

• a_n = a_n-1(r)

Write an exponential equation (a(b)^x) if a=300 b=12 x=3

• 312³

• 3600

• 300(12)³

• 300(3)¹²

What is the end behavior of this exponential function?

• As X decreases, Y increases; As X increases, Y approaches 0

• As X increases, Y increases; As X decreases, Y approaches 0

• As X approaches 0, Y increases; As X decreases, Y approaches 0

• As X lowers, Y lowers; As X raises, Y raises

Rewrite this formula to make it exponential: 2(2)^x-3

• 1/4(2)^x

• 2(2x)^-3

• 4^x-3

• 4(-6)x

Find the growth rate: 400(1.08)^x

• 92%

• 108%

• 80%

• 8%

Find the rate of decay: 25,000(0.88)^x

• 88%

• 12%

• 11%

• .88%

What is the transformation of these exponential functions? (starting from the red, going to blue, then green)

• 3 units to the left

• 2 units to the left

• 2 units down

• 3 units to the right

What transformation is the picture showing?

• a reflection across the y-axis

• 10 units down

• a reflection across the x-axis

• 2 units to the right

What would the y-intercept be if the function were transformed 2 units to the left?

• 4

• 3

• 1

• 2