Drawing exponential graphs | Maths | Quizalize & Oak National Academy

Starter quiz

Match each equation to its type of graph.

$y=x^2$

⇔

quadratic curve ✓

$y=x+2$

⇔

linear ✓

$y=x^3$

⇔

cubic curve ✓

$y=\frac{3}{x}$

⇔

reciprocal curve ✓
Given the equation $y=3^x$ . When $x=2$ then $y$ =______.

'9' ✓
Find the missing term in the geometric sequence: 0.2, ______, 5, 25, 125, ...

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

$-1$

$-3$

$0.3$

$1\over3$ ✓

$-1\over3$
Given the equation $y=3\times2^x$ . When $x=4$ then $y=$ ______

'48' ✓
Match each geometric sequence to its missing term.

1, 2, 4, $\square$ , 16, 32

⇔

8 ✓

2, 6, $\square$ , 54, 162

⇔

18 ✓

3, 6, 12, $\square$ , 48, 96

⇔

24 ✓

1, $\square$ , 36, 216, 1296

⇔

6 ✓

3888, 648, 108, 18, $\square$

⇔

3 ✓

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

a constant

an exponential ✓

a power

a quadratic

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

(0.5, 1)

(1, 2) ✓

(2, 1)

(3, 8) ✓

(0, 2)
Match each curve to its equation.

A

⇔

$y=4^x$ ✓

B

⇔

$y=3^x$ ✓

C

⇔

$y=2^x$ ✓

D

⇔

$y=1^x$ ✓
The table of values for the curve $y=4^x$ is shown. Which $y$ value is incorrect?

$\frac{1}{64}$

$\frac{1}{8}$ ✓

1

4

16
Jacob draws the graphs of $y=2^(-x)$ and $y=2^x$ on the same pair of axes. Which of these statements are correct.

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. ✓
Which of these could be the equation of this curve?

$y=4^x$

$y=-4^x$ ✓

$y=4^{-x}$

$y=-4^{-x}$

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A table of values can be useful to identify coordinate pairs which satisfy the equation.
By substituting the values for x, you can calculate corresponding values for y.
If used correctly, your calculator can be a powerful tool to speed up calculations.

$y = 2^x$ evaluates to $0$ when $x = 0$

Remind pupils of the laws of indices that can be used to show that $b^{0} = 1$

Exponential - 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.