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CanadaON
Grade 11

Find and use an exponential equation

Interactive practice questions

Consider the plotted points.

Loading Graph...

a

Complete the table of values for the given points.

$x$x $1$1 $2$2 $3$3 $4$4
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Identify the common ratio between consecutive $y$y values.

c

State an equation relating $x$x and $y$y.

Easy
1min

Consider the given table of values.

Easy
2min

Find the equation of the curve in the form $y=a^x$y=ax.

Easy
1min

The graph of $f\left(x\right)=9^x$f(x)=9x is given below. Another exponential function, $g\left(x\right)$g(x), is increasing at exactly the same rate as $f\left(x\right)$f(x), but has a different $y$y-intercept. Which of the following could be the equation of function $g\left(x\right)$g(x)?

Easy
< 1min
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Outcomes

11M.B.2.2

Identify exponential functions, including those that arise from real-world applications involving growth and decay, given various representations, and explain any restrictions that the context places on the domain and range

11M.B.2.3

Solve problems using given graphs or equations of exponential functions arising from a variety of real-world applications by interpreting the graphs or by substituting values for the exponent into the equations

11M.B.3.2

Solve problems, using a scientific calculator, that involve the calculation of the amount, A (also referred to as future value, FV ), and the principal, P (also referred to as present value, PV ), using the compound interest formula in the form A = P(1 + i)^n [or FV = PV(1 + i)^n ]

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