Answer:
A. Between 3.0 and 3.5 and between 4.0 and 4.5
Step-by-step explanation:
The zeroes of a function occur whenever a value of x returns zero. To predict where the zeroes lie, determine the interval(s) where the function crosses the x-axis. This occurs when either 
goes from a negative value to a positive value or vice versa.
From 
and 
, the y-values go from 4.0 (positive) to -0.2 (negative), respectively. Therefore, there must be a zero in this interval.
From 
and 
, the y-values go from -0.8 (negative) to 0.1 (positive), respectively. Therefore, there must also be a zero in this interval.
Thus, the zeros of this function occur between 3.0 and 3.5 and between 4.0 and 4.5, leading to answer choice A.
Answer:
g(x) = - (x² + 3x + 2) = - x² - 3x - 2
Step-by-step explanation:
The graph represents the function f(x) = x² + 3x + 2.
Now, g(x) is the function which is obtained by reflecting f(x) across the x-axis.
While a graph of a function reflects across x-axis then its y-values will change sign for a fixed value of x.
Therefore, the function g(x) will be given by
g(x) = - (x² + 3x + 2) = - x² - 3x - 2 (Answer)
Answer:
A. Adjacent
Step-by-step explanation:
Y-2=3x+3
Then add two
So y=3x+5
Hope this helps sorry if wrong
Answer:
Option D. Slope is 1 if the line is vertical
Step-by-step explanation:
we have
Part A) Slope is a measure of the steepness of the line
The statement is true
Because, the steepness of a line is measured by the absolute value of the slope.
Part B) Slope is the ratio of vertical change to horizontal change
The statement is true
Because the formula to calculate the slope between two points is equal to
so
Is the ratio of vertical change to horizontal change
Part C) Slope is zero if the line is horizontal
The statement is true
Because If the line is horizontal, the y-coordinate of two points is the same
therefore
The vertical change is equal to zero
Part D) Slope is 1 if the line is vertical
The statement is Not true
Because, if the line is vertical the slope is undefined
