91Ó°ÊÓ

In Exercises \(77-80\) : a) Find the vertex. b) Find the axis of symmetry. c) Determine whether there is a maximum or a minimum value and find that value.[ 3.3] $$g(x)=x^{2}-6$$

Find the logarithm using natural logarithms and the change-of-base formula. $$\log _{100} 15$$

In Exercises \(77-80\) : a) Find the vertex. b) Find the axis of symmetry. c) Determine whether there is a maximum or a minimum value and find that value.[ 3.3] $$f(x)=-x^{2}+6 x-8$$

Classify the function as linear, quadratic, cubic, quartic, rational, exponential, or logarithmic. $$f(x)=2^{x}$$

Find the logarithm using natural logarithms and the change-of-base formula. $$\log _{9} 100$$

In Exercises \(77-80\) : a) Find the vertex. b) Find the axis of symmetry. c) Determine whether there is a maximum or a minimum value and find that value.[ 3.3] $$G(x)=-2 x^{2}-4 x-7$$

Graph the function and its inverse using the same set of axes. Use any method. $$f(x)=3^{x}, f^{-1}(x)=\log _{3} x$$

Classify the function as linear, quadratic, cubic, quartic, rational, exponential, or logarithmic. $$f(x)=-\frac{3}{4}$$

Graph the function and its inverse using the same set of axes. Use any method. $$f(x)=\log _{4} x, f^{-1}(x)=4^{x}$$

In Exercises \(77-80\) : a) Find the vertex. b) Find the axis of symmetry. c) Determine whether there is a maximum or a minimum value and find that value.[ 3.3] $$H(x)=3 x^{2}-12 x+16$$