topic badge
CanadaON
Grade 11

Finding Exponential Equations from Graphs or Data

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
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11C.A.3.2

Describe some characteristics of exponential relations arising from real-world applications (e.g., bacterial growth, drug absorption) by using tables of values and graphs

11C.A.3.3

Pose problems involving exponential relations arising from a variety of real-world applications, and solve these and other such problems by using a given graph or a graph generated with technology from a given table of values or a given equation

11C.A.3.4

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

What is Mathspace

About Mathspace