1 of 8 0-day streak

Analyse exponential and logarithmic graphs

Question 1 of 8

No calculator

Read the graph information from the following function rule

f(x)=\frac{256}{625}^{\left(x\right)}

The basic family has base \(\frac{256}{625}\). The two marked exact points used in the feature table are P=\((-1,\frac{625}{256})\) and Q=\((0,1)\)

Their basic-family exponent values are \(t=-1\) for P and \(t=0\) for Q

(a)1 mark

Select the statement that gives the domain, range and asymptote

The domain is all real numbers, the range is all real numbers, and the asymptote is \(x=0\)

The domain is all real numbers, the range is \(y>0\), and the asymptote is \(y=1\)

The domain is all real numbers, the range is \(y>0\), and the asymptote is \(y=0\)

The domain is \(y>0\), the range is all real numbers, and the asymptote is \(y=0\)

(b)1 mark

State whether the graph increases or decreases as x increases

The graph decreases as x increases

The graph increases as x increases

Complete the exact feature table

y-coordinate of the y-intercept x-coordinate of P y-coordinate of P x-coordinate of Q horizontal asymptote coordinate y-coordinate of Q