The general form for an exponential equation is $$y = ab^x$$ where $$a$$ is the coefficient, $$b$$ is the base and $$x$$ is the exponent.

Drawing exponential graphs

Maths

Checking and securing understanding of drawing quadratic graphs

Key features of a quadratic graph

Drawing cubic graphs

Key features of a cubic graph

Drawing reciprocal graphs

Key features of a reciprocal graph

Key features of an exponential graph

Drawing the graph for the equation of a circle

Advanced problem solving with non-linear graphs

In this unit, pupils consider other types of graphs. In the future unit, pupils consider different types of sequences such as Fibonacci and oscillating. Their knowledge is consolidated by linking all prior learning together.

In the prior unit, pupils studied the graphical representation of a geometric sequence and linked features of the graph to its equation. In this unit, other types of graphs are introduced and their key features identified.

In this unit graphical representations of non-linear graphs are introduced and explored, and their key features identified.

Non-linear graphs

The general form for __________ equation is $$y = ab^x$$.

Select the coordinates that lie on the curve $$y=2^x$$

The table of values for the curve $$y=4^x$$ is shown. Which $$y$$ value is incorrect?

The curves will intersect the $$y$$ axis.

The curves will intersect the $$x$$ axis.

The curves are symmetrical about the $$x$$ axis.

The curves are symmetrical about the $$y$$ axis.

Jacob draws the graphs of $$y=2^(-x)$$ and $$y=2^x$$ on the same pair of axes. Which of these statements are correct.

Which of these could be the equation of this curve?

Match each equation to its type of graph.

Given the equation $$y=3^x$$. When $$x=2$$ then $$y$$={{}}.

Find the missing term in the geometric sequence: 0.2, {{}}, 5, 25, 125, ...

Given the equation $$y=3^x$$. Find the value of $$y$$ when $$x=-1$$.

Given the equation $$y=3\times2^x$$. When $$x=4$$ then $$y=$${{}}

Match each geometric sequence to its missing term.

Drawing exponential graphs

Lesson outcome