Answer:
a) -1 and 5 (option D)
[tex]b)\text{ }As\text{ x }\rightarrow\infty,\text{ f\lparen x\rparen}\rightarrow\text{ }\infty\text{ \lparen option A\rparen}[/tex]
Explanation:
Given:
A parabola graph
To find:
a) The zeros of the graph
b) The end behaviour as x tends to infinity
a) Zeros of a function is the value of x when the function is equal to zero.
To determine the zeros of a parabola on a graph, we will check for the value(s) of x where the line crosses the x-axis
From the graph, the line crosses the x-axis at x = -1 and x = 5
Zeros of the graph: -1 and 5 (option D)
[tex]\begin{gathered} b)\text{ As x tens to infinity, the function f\lparen x\rparen has an arrow pointing upwards \lparen indicating infinity\rparen}\rightarrow\infty \\ As\text{ x }\rightarrow\infty,\text{ f\lparen x\rparen }\rightarrow\text{ }\infty\text{ \lparen option A\rparen} \end{gathered}[/tex]
