Answer:
The function is decreasing for all real values of x where x < 1.5 ⇒ 4th
Step-by-step explanation:
* Lets revise some points about the quadratic function
- The quadratic represented graphically by a parabola
- If the vertex of the parabola is point (h , k), then
- Point (h , k) is the minimum point of the function if the parabola opens
upward
- Point (h , k) is the maximum point of the function if the parabola opens
downward
- <em>If point (h , k) is a minimum point, then the function is decreasing</em>
<em> for all values of x smaller than h and increasing for all values of x </em>
<em> greater than h</em>
- If point (h , k) is a maximum point, then the function is increasing for
all values of x smaller than h and decreasing for all values of x greater
than h
* Now lets solve the problem
- From the attached graph and the given
∵ The parabola represents a quadratic function
∵ The parabola opens upward
∴ Its vertex is minimum
- <em>Lets use the bold point above</em>
∵ The coordinates of the vertex are (1.75 , -6.2)
∴ The function is decreasing for all values of x less than 1.75
* The function is decreasing for all real vales of x where x < 1.75
∴ The function is increasing for all values of x greater than 1.75
* The function is increasing for all real vales of x where x > 1.75
- <em>From the answer there is only one statement true</em>
- The statement is:
The function is decreasing for all real values of x where x < 1.5,
because the function is decreasing for all real values of x where
x < 1.75 and 1.5 is smaller than 1.75
* The function is decreasing for all real values of x where x < 1.5
