Exponential Function Algebra Practice

If f(x) = 10^x, what are the coordinates of the y-intercept of f(x) + 3? Write your response as an ordered pair.

Tags

CCSS.HSF-IF.C.7E

If f(x) = 4x and g(x) = 2^x, what is the effect of the composition f(g(x)) on the graph of g(x)?

• g(x) is compressed vertically.

• g(x) is stretched vertically.

• g(x) is translated 4 units up.

• g(x) is translated 4 units to the left.

Tags

CCSS.HSF-BF.A.1B

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Tags

CCSS.HSF-IF.C.7E

Label the parts of the Exponential Function Form.

a

b

c

growth or decay factor

number of repititions

y-intercept, the initial value

Tags

CCSS.HSF.LE.B.5

The table contains some points on a graph of an exponential function. Based on the table, which function represents the same relationship?

• f(x) = 3(4)^x

• f(x) = 2(4x)

• f(x) = 4(.02)^x

• f(x) = 2(4)^x

Tags

CCSS.HSF.LE.A.2

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = sqrt(3)

• y = 4x + 3

Tags

CCSS.HSF.LE.A.2

Which function represents the same relationship?

• f(x) = 15(5/6)^x

• f(x) = 18(6/5)^x

• f(x) = 15(6/5)^x

• f(x) = 18(5/6)^x

Tags

CCSS.HSF.LE.A.2

Which function is best represented by the graph?

Tags

CCSS.HSF.LE.A.2

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5