What would the grapg of 10/x look like?
A. a straight line
B. a parabola
C. a curve***
D. none of the above
What would the graph of y=3/4x - 7/8 look like?
A. a straight line***
B. a parabola
C. a curve
D. none of the above
y=x2 + 1 look like?
A. straight line
B. a parabola ***
C. dotted line
please check. Btw *** mean that's the answer I choose.
All are right!
Thanks!!
For the first question, "What would the graph of 10/x look like?", the correct answer is C. a curve.
To understand the shape of the graph, you can examine the function 10/x. Notice that the denominator, x, is in the variable's exponent, which is 1. This suggests that the graph will not be a straight line (option A) or a parabola (option B). Instead, it will exhibit a curve.
To get a complete visual representation of the graph, you could use a graphing calculator or a graphing software, such as Desmos or GeoGebra. By plotting various x-values and finding the corresponding y-values, you can construct a curve that represents the function 10/x.
For the second question, "What would the graph of y=3/4x - 7/8 look like?", the correct answer is A. a straight line.
The given equation, y = 3/4x - 7/8, is in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept. Since this equation does not involve any variable with an exponent higher than 1, the graph will be a straight line.
To plot the graph, you can start by identifying the slope (3/4) and the y-intercept (-7/8). From the y-intercept, you can move up or down, depending on the sign of the fraction, to locate another point on the line. Finally, connecting these two points will generate a straight line. Alternatively, you can use a graphing calculator or software to plot the graph accurately.
Lastly, for the equation y = x^2 + 1, the correct answer is B. a parabola.
The given equation is in the form y = ax^2 + bx + c, which represents a quadratic function. In this case, a = 1, b = 0, and c = 1. Since a is positive, the graph will open upward and form a U-shape, which is characteristic of a parabola.
To sketch the graph manually, start by plotting the vertex, which is the lowest point on the parabola calculated as (-b/2a, f(-b/2a)). In this case, the vertex is at (0, 1). Then, plot a few more points on either side of the vertex, and connect them smoothly to complete the parabolic curve. Again, a graphing tool will help you accurately represent the graph if needed.