The graph of a logarithmic function is given Match the graph

The graph of a logarithmic function is given Match the graph to its function. Which function matches the graph? y = log_4x y = - log_4 x y = log_4 x - 1 y = 1 - log_4 x y = log_4 (x - 1) y = log_4 (-x) y = log_4 (1 - x) y=-log_4 (-x) Find the domain of the logarithmic function. f(x) = log(5 - x) The domain of f(x) = log (5 - x) is. (Type your answer in interval notation.)

Solution

7)

Now graph of y =logx is on the +ve x axis side.If the given graph is on -ve x axis side then

it means the argument of logx must be -ve i.e. log(-x) so, that when x=-4; y = log(4)

So, graph of logx is reflected across y axis.

X intercept x =-1

So, for y = log_a(-x) to any base a

x intercept: y =0 = log_a(-x)

1 = -x ----> x =-1

So, y =  log4(-x) Option F

8) f(x) = log(5-x)

(5-x) >0

So, x< 5

So, Domain ( -infinity , 5)