Exponential Function Review

Describe the transformation that took place in f(x) = (2)^x -2

• Shifted up 2
• Shifted down 2
• Shifted right 2
• Shifted left 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation that took place in f(x) = (2)^x+3

• Shifted up 3
• Shifted down 3
• Shifted left 3
• Shifted right 3

Tags

CCSS.HSF.BF.B.3

In the function, which value causes the function to shift?   f(x) = 3(2)^x-1

• 1
• 2
• 3
• x

In the function, which value causes the function to stretch?    f(x) = 3(2)^x-1

• 1
• 2
• 3
• x

Given the function f(x) = 5^x, write the new function g(x), that is stretched by a factor of 2 and shift up 3 units?

• g(x) = 2(5)^{x +3}
• g(x) = 2(5)^x + 3
• g(x) = (5)^2x + 3
• g(x) = (5)^{x - 3} + 2

What transformation takes place in function, f(x) = 1/2(8)^x?

• Stretch
• Compression
• Shift left or right
• Shift up or down

Tags

CCSS.HSF.BF.B.3

What value would need to be negative for the function to be reflected over the x-axis?
f(x) = a(b)^{x -h} +k

• a
• b
• h
• k

The domain for an exponential function is the interval:

• (0, 1)
• (H. A. , ∞)
• (-∞, H. A.)
• ( -∞ , ∞)

Tags

CCSS.HSF-IF.C.7E

Given the parent function: f(x) = (4)^x write the function after a stretch by a factor of 3, shift up 5 units and shift right 7 units?

• f(x) = 3(4)^x+5 -7
• f(x) = 5(4)^x-7 +3
• f(x) = 3(4)^x+7 + 5
• f(x) = 3(4)^x-7 +5

This graph shows 

• exponential decay
• exponential growth
• linear function
• all of the above