Exponentials

Hong Kong

Stage 4 - Stage 5

Consider the graphs of the two exponential functions $R$`R` and $S$`S`.

Loading Graph...

a

One of the graphs is of $y=4^x$`y`=4`x` and the other graph is of $y=6^x$`y`=6`x`.

Which is the graph of $y=6^x$`y`=6`x`?

Graph S

A

Graph R

B

b

Fill in the blanks to complete the statement:

For $x<\editable{}$`x`<, the graph of $y=\left(\editable{}\right)^x$`y`=()`x` is below the graph of $y=\left(\editable{}\right)^x$`y`=()`x`. This is because negative values of $x$`x` result in fractional function values, and for any negative value of $x$`x`, $\left(\editable{}\right)^x$()`x` will result in a smaller value than $\left(\editable{}\right)^x$()`x`.

Easy

Approx 2 minutes

Consider the curve $y=4\left(2^x\right)$`y`=4(2`x`).

Consider the function $y=2-4^{-x}$`y`=2−4−`x`.

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