Question
Find the x-intercept and y-intercept of 
.
- x-intercept = – 1; y-intercept = –1
- x-intercept = – 1; y-intercept = 1
- x-intercept = 1; y-intercept = –1
- x-intercept = 1; y-intercept = 1
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 = – 1; y-intercept = 1
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 (0,1).
Now if intercepted the x-axis, then y=0, we get:
Then it becomes (-1,0).
x-intercept = – 1; y-intercept = 1
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 = – 1; y-intercept = 1
Related Questions to study
The graph of 
is _________ of 
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
The graph of is _________ of
There are 4 types of transformations vertical stretch, horizontal stretch, horizontal translation and vertical translation.
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = -4Ix – 2I – 1
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = -4Ix – 2I – 1
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
Know how to visualize a graph.
Compare the graph of the function with the graph of f(x) = IxI. Describe the transformation. g(x) = (1/3)Ix + 6I – 1
Know how to visualize a graph.
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Emma wants to model the sides of a pyramid by using a function that includes an absolute value expression. Emma will place the pyramid on a coordinate grid as shown. What function should she use?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.
Know what the terms vertically stretching and reflection means.
What function g describes the graph of f after the given transformation?
f(x) = IxI; vertically stretched by a factor of 3 and reflected across the x-axis.
Know what the terms vertically stretching and reflection means.
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
Read the problem carefully in order to understand the direction of the axes.
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
Read the problem carefully in order to understand the direction of the axes.
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Write a function for the graph.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
Find the vertex of the function. f(x) = -Ix + 3.5I + 4
Find the vertex of the function. f(x) = -Ix + 3.5I + 4
Find the vertex of the function. f(x) = Ix + 0.5I
Find the vertex of the function. f(x) = Ix + 0.5I
Find the vertex of the function. f(x) = IxI + 1
Find the vertex of the function. f(x) = IxI + 1
The rates for Carolina’s dog boarding service are shown. Carolina plans on increasing the rate for the first hour by $5.
Write the step functions for the cost of boarding a dog before and after the rate increase.
Know how to solve function problems.
The rates for Carolina’s dog boarding service are shown. Carolina plans on increasing the rate for the first hour by $5.
Write the step functions for the cost of boarding a dog before and after the rate increase.
Know how to solve function problems.
For the general function f(x) = aIx – hI + k, what are the two linear functions containing the branches?
Know the absolute function very well.
For the general function f(x) = aIx – hI + k, what are the two linear functions containing the branches?
Know the absolute function very well.
Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?
Know what an absolute function is.
Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?
Know what an absolute function is.
