Introduction Exponential Functions

What is the solution to the exponential equation 81=3^x-1

• x=-5

• x=-3

• x=4

• x=5

Which function models the data in the table?

• f(x)=2*4^x

• f(x)=4^x

• f(x)=4*2^x

• f(x)=8^x

What is 1/100 written as a single power?

• 10^-3

• 10^-2

• 10²

• 10³

Which shows the function f(x)=2*4^x after a vertical translation 2 units down?

• f(x)=2*4^x + 2

• f(x)=2*4^x - 2

• f(x)=2*4^x+2

• f(x)=2*4^x-2

The graph of f(x)=3^x is shown. Which shows -f(x)?

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Which is a reflection of the function f(x)=-4^x about the horizontal line y=0?

• g(x)=-4^-x

• g(x)=4^-x

• g(x)=-4^x

• g(x)=4^x

What is the y-intercept for the function f (x) = 2 ⋅ 5^x + 4?

• 2

• 4

• 6

• 14

Which explicit formula can be rewritten in function form as f(n) = 3/2 ⋅ 2ⁿ?

• g_n = 3/2 ⋅ 2^n-1

• g_n = 2 ⋅ 3^n-1

• g_n = 3 ⋅ 2^n-1

• g_n = 3/2 ⋅ 3^n-1

Which shows the function f(x) = 7^x after a vertical translation down 4 units?

• g(x) = 7^x - 4

• g(x) = 4⋅7^x

• g(x) = 7^4x

• g(x) = 7^x-4

Taylor earned the following amount each day.

• one dollar of the first day

• three dollars on the second day

• nine dollars on the third day

• twenty-seven dollars on the fourth day

Which function represents Taylor’s daily earnings as a function of the number of days, t?

• f(x) = 3^t

• f(x) = 3^t+1

• f(x) = 3^t-1

• f(x) = 3t