H. Algebra 2_Unit 1 Topic 3 FA3 Review II

Front

What is the function rule for G?

Back

G(x) = - log₂(x + 2)

Front

What is the function rule for g(x)?

Back

g(x) = log₆x

Front

What transformations produce f(x) from g(x) = log₃x?

Back

Dilation factor of 1/2 with respect to y-axis and move vertically 3 units up

Front

What value of x makes f(x) = 5(2)^(x/2) equal to g(x) = 15(10/3)^(x/6)?

Back

x = 7.5

Front

Which equation could represent the table shown?

Back

g(x) = 4^x

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the base of the logarithm in g(x) = log₆x?

Back

The base is 6.

Front

What does a dilation factor of 1/2 with respect to the y-axis do to a function?

Back

It compresses the function vertically by half.

Front

How do you convert an exponential equation to logarithmic form?

Back

If b^y = x, then log_b(x) = y.

Front

What is the inverse of the function g(x) = 4^x?

Back

The inverse is g⁻¹(x) = log₄x.