Test - TCAP Success ALGEBRA 2 EOC Chapter 15

TCAP Success ALGEBRA 2 EOC Chapter 15 Sample

1 pt DOK: 2

Which of these $3 \log_{6} 8 - \log_{6} 32$ written as a single logarithm?

$\log_{6} (\frac{3}{8})$

$\log_{6} (\frac{3}{4})$

$\log_{6} 8$

$\log_{6} 16$

1 pt DOK: 2

What is the domain and range of the exponential function $y = 7^{x}$ ?

The domain is all real numbers, and the range is all real numbers.

The domain is all real numbers, and the range is all real numbers greater than 0.

The domain is all real numbers greater than 0, and the range is all real numbers.

The domain is all real numbers greater than 0, and the range is all real numbers greater than 0.

1 pt DOK: 2

If the function $f (x) = \log_{7} x$ were transformed to produce the graph of the function $f (x) = - 15 \log_{7} x$ , which of these transformations were applied?

A vertical compression and a reflection across the x-axis

A vertical compression and a reflection across the y-axis

A vertical stretch and a reflection across the x-axis

A vertical stretch and a reflection across the y-axis

1 pt DOK: 2

10.

If the graph of the function $f (x) = \ln x$ were translated 5 unites to the right and 10 unites down, what would be the equation of the resulting graph?

$f (x) = \ln (x - 5) - 10$

$f (x) = \ln (x - 5) + 10$

$f (x) = \ln (x + 5) - 10$

$f (x) = \ln (x + 5) + 10$

1 pt DOK: 2

11.

What is the solution to the equation ${(\frac{1}{4})}^{x} = 150$ rounded to two decimal places?

x=-3.61

x=-0.28

x=0.28

x=3.61

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