Please help me with those problems Match the logarithmic fun

Match the logarithmic function with its graph. (a) ---Select--- (b) fox) log 20-x) ---Select--- (c) f(x) log2 x Select (d) f(x) log2( x) Select Submit Answer Save Progress

Solution

Solution:

(a)

f(x) = log₂(x)

We can see that

1.domain ( 0,)

2. Range = (- ,)

3.Vertical asymptote

at x = 0

4. and intercept on x axis

y = 0 at x = 1

therefore

we can see that Graph (III)^rd match with   log₂(x)

(b)

f(x) = log₂(-x)

We can see that

1.domain (-,0)

2. Range = ( ,-)

3.Vertical asymptote

at x = 0

4. and intercept on x axis

y = 0 at x = -1

therefore

we can see that Graph (II)^nd match with   log₂(-x)

(C)

f(x) = -log₂(x)

We can see that

1.domain (0,)

2. Range = (+ ,-)

3.Vertical asymptote

at x = 0

4. and intercept on x axis

y = 0 at x = 1

therefore

we can see that Graph (I)^st match with -log₂(x)

(d) f(x) = -log₂(-x)

We can see that

1.domain (-,0)

2. Range = (- ,)

3.Vertical asymptote

at x = 0

4. and intercept on x axis

y = 0 at x = -1

therefore

we can see that Graph (IV)^th match with -log₂(-x)

Answer