Question
Find the x-intercept and y-intercept of 
.
- x-intercept = 4; y-intercept = – 2
- x-intercept = – 4; y-intercept = 2
- x-intercept = 4; y-intercept = 2
- x-intercept = – 4; y-intercept = – 2
Hint:
An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation of the line, which is written as y = mx+c, where m denotes slope and c the y-intercept. Here we have given the equation , we have to find the x-intercept and y-intercept.
The correct answer is: x-intercept = 4; y-intercept = – 2
The term "intercept" refers to the location where a line or curve crosses a graph's axis. The x-intercept is the point at which the x-axis is crossed. The y-intercept is the point at which the y-axis is crossed.
The x- or y-axis intersection point is what is meant when a line has an intercept. The y-axis is often taken into account if the axis is not stated. The letter "b" is typically used to represent it. Because the line is precisely vertical, regardless of how far off the top or bottom of the chart it is, it will always intersect the y-axis someplace.
Now if intercepted the y-axis, then x=0, we get:
Then it becomes (0,-2).
Now if intercepted the x-axis, then y=0, we get:
Then it becomes (4,0).
x-intercept = 4; y-intercept = -2
Here we used the concept of intercepts. The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis. So the intercepts are x-intercept = 4; y-intercept = -2
Related Questions to study
The graph of 
is _________ of 
The graph of is _________ of
Find the domain of the function 
Find the domain of the function
Which of the following function is horizontal translation of
Which of the following function is horizontal translation of
Find the minimum point of the function 
.
Find the minimum point of the function .
How does the graph 
compared to the graph of ?
How does the graph compared to the graph of ?
For the square root function , the average rate of change between x = 5& x = q is 0.185. What is the value of q?
For the square root function , the average rate of change between x = 5& x = q is 0.185. What is the value of q?
Find the average rate of change of the function 
Find the average rate of change of the function
Evaluate 
for the variable x = 3 to the nearest hundredth.
Evaluate for the variable x = 3 to the nearest hundredth.
Write an expression for the function which has a translation by 1 unit left of f(x) = 
.
Write an expression for the function which has a translation by 1 unit left of f(x) = .
Find the x-intercept and y-intercept of 
Find the x-intercept and y-intercept of
The graph of 
is _________ of
The graph of is _________ of
Find the domain of the function 
.
Find the domain of the function .
Which of the following functions is the vertical translation of .
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Which of the following functions is the vertical translation of .
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Find the minimum point of the function 
.
The minimum point is also called the minima.
Find the minimum point of the function .
The minimum point is also called the minima.
How does the graph 
compared to the graph of ?
There are 4 types of transformations vertical stretch, horizontal translation, vertical translation and horizontal stretch.
How does the graph compared to the graph of ?
There are 4 types of transformations vertical stretch, horizontal translation, vertical translation and horizontal stretch.
