Exponential Functions

New Zealand

Level 7 - NCEA Level 2

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the equation $y=5^x$`y`=5`x`.

a

$\left(3,\editable{}\right)$(3,)

b

$\left(\editable{},5\right)$(,5)

c

$\left(-1,\editable{}\right)$(−1,)

d

$\left(\editable{},\frac{1}{25}\right)$(,125)

Easy

Approx 2 minutes

Fill in the missing coordinate in each ordered pair so that the pair is a solution of $y=3^{-x}$`y`=3−`x`.

Fill in the missing in each so that the pair is a of $y=-2^x$`y`=−2`x`.

Consider the equation $y=5\times4^x$`y`=5×4`x`.

Find the value of $y$`y` when:

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Manipulate rational, exponential, and logarithmic algebraic expressions

Apply algebraic methods in solving problems