The diagram shows the graphs of the equations

y = 2x + 1 and x + y = 7

Use the diagram to solve the simultaneous equations

y = 2x + 1
x + y = 7

x =
y =

Use the graph above to solve the simultaneous equations

(a)y = x - 2
y = 4 - x

x = and y =

(b)y = 4 - x
y = 3x + 4

x = and y =

(c) Use the graph to determine if the pair of simultaneous equations

y = x - 2
y = x + 2

have any solutions. No solutionsOne solutionTwo solutionsInfinite solutions

A: y = x² + 2 B: y = 4 - 2x²

C: y =		1		D: y = x3 - x
		x

Match each graph below to the correct function above.

(a)
	Function AFunction BFunction CFunction D

(b)
	Function AFunction BFunction CFunction D

(c)
	Function AFunction BFunction CFunction D

(d)
	Function AFunction BFunction CFunction D

f(x) = x² - 3x - 2

(a) Estimate the values of x when f(x) = 0.   x ≈ or

(b) Estimate the minimum value of the function.    f(x) ≈

(c) Estimate the solution of x² - 3x - 2 = 5   x ≈ or x ≈

(d) What is the interval on the domain for which f(x) is less than -2?    < x <

h = 8t - 5t²

The graph of h against t for 0 ≤ t ≤ 1.6 is shown below

(a) Estimate the speed of the ball when t = 0.4 seconds   m/s

(b) Estimate the speed of the ball when t = 1.2 seconds   m/s

(c) At what times is the speed of the ball a maximum?   s and s

(d) When is the speed zero?   s

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