Again, we draw a number line with the critical point 3/4 labeled. We use test points to determine the sign of the second derivative. y'(0) = -56(4(0) - 3)-3 = -56/27 > 0 y'(1) = -56(4(1) - 3)-3 = 56 < 0. We conclude that the graph is concave up on (-, 3/4) and concave down on (3/4, ). E) We use the above information to graph the function.
Plot graphs of the three linear functions y = 4x−3, y = 4x, and y = 4x+5, for −2 ≤ x ≤ 2. Solution For each function it is necessary to ﬁnd two points on the line. For y = 4x−3, suppose for the ﬁrst point we choose x = 0, so that y = −3. For the second point, let x = 2 so that y = 5.
In this video the tutor shows how to graph a straight line using the rise over run method. The rise over run trick allows you to graph a straight line as long as you have a starting point and a slope value in the form of a fraction. The first step is to graph the starting point. In the second step he states that the numerator of the slope is rise and the denominator of the slope is run. He ...
rectangular coordinate system xy axis quadrant points on a line finding intercepts The rectangular coordinate system is a general way that we graph a lot of information. You hear it call called the rectangular coordinate system; you'll hear it called the coordinate system sometimes you call the xy axis.
graph of a linear equation The graph of a linear equation Ax+By=C is a straight line. Every point on the line is a solution of the equation. Every solution of this equation is a point on this line. horizontal line A horizontal line is the graph of an equation of the form y=b. The line passes through the y-axis at (0,b). vertical line
Bundle: Elementary Algebra + Math Study Skills Workbook (4th Edition) Edit edition. Problem 58P from Chapter 8.2: How do we know that the graph of y = - 4x is a straight line...
An infinite number of solutions. The graphs of the two equations are the same line! Lesson 13 Practice Problems. Write equations for the lines shown. Describe how to find the solution to the corresponding system by looking at the graph. Describe how to find the solution to the corresponding system by using the equations.
Gradients of Straight Line Graphs. Equations featuring x and y (and no x^3 or y^2 etc.) are straight lines.. The gradient of a line is a measure of how steep it is. If the gradient is small, the slope of the line will be very gradual, but if the gradient is big, the line will be quite steep.