Question

12 Jy
10
Which statement is true regarding the graphed
functions?
g
18
f(
4
Of(0) = 2 and g(-2) = 0
Of(0) = 4 and g(-2) = 4
Of(2)= 0 and g(-2) = 0
Of(-2) = 0 and g(-2) = 0
2
3 4
5 6 x
t6 -5 -3 -2 -12
-4
16
8
10
-121
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Answer 1

Given:

The graphs of the function f(x) and g(x).

To find:

The correct statement for the given graph.

Solution:

From the given graph it is clear that, the function f(x) passes through the points (0,4) and (2,0). So,

$f(0)=4$

$f(2)=0$

$f(-2)\neq 0$

The graph of the function g(x) passes through the point (-2,0). So,

$g(-2)=0$

Since $f(2)=0$ and $g(-2)=0$, therefore the correct option is C.

Answer 2

The graphs of the given functions, f(x), and g(x), bounces off the x-axis.

Correct response:

The true statement regarding the graphed function is the option;

• $\underline{f(2) = 0 \ and \ g(-2) = 0 }$

Method used to find the true statement

The properties of the graph of f(x) and g(x) are;

When x = 0, the value of f(x) is; f(0) = 4

Therefore;

f(0) = 4

When x = 2, the value of f(x), which is the point on the graph corresponding to a x-value of 2 is; $\underline{f(2) = 0}$

When x = 0, g(x) value is g(0) = 4

When x = -2, g(x) is; g(-2) = 0

The correct option is therefore;

• $\underline{f(2) = 0 \ and \ g(-2) = 0}$

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