Yes. All linear functions cross the y-axis and therefore have y-intercepts. (Note: A vertical line parallel to the y-axis does not have a y-intercept, but it is not a function.) How To: Given the equation for a
“Linear function.”Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/linear%20function. Accessed 2 Jun. 2025. Copy Citation Share Kids Definition linear function noun :a function whose graph is a straight line and which is represented by an equation of ...
To move the parent function horizontally, either add or subtract a number to the x values. If f(x) = x, then f(x - 5) would move the graph right by 5 units. Subtracting 5 inside the parentheses would add 5 to all x values. Translation right 5 units Notice the x and y pairs of...
Answer to: Graph the linear function by hand. Identify the slope and y-intercept. g(x) = 20 - 10x By signing up, you'll get thousands of...
How do you graph linear functions? Example: To graph a function such asf(x) = y = 2x + 7, we can select a table of values, plot and connect the points. To fill the table, we choose values forxand use the function to get the values ofyas shown in the following table. x -3.5...
Set the function equal to 0 and solve forx. 0=3x−66=3x2=xx=20=3x−66=3x2=xx=2 The graph of the function crosses thex-axis at the point (2, 0). Q & A Do all linear functions havex-intercepts? No. However, linear functions of the formy=c, wherecis a nonzero real numbe...
We will find the Linear Function whose graph has a slope of (-5/6), and passes through the point (4,-8). Please click on the image to see the graph. Step 2 In order to find the Linear Function, we will use the Slope-Intercept form, which is y=mx+b. M is the slope of the...
6. Given that graph of linear functiony=(m-3)x+2m+4 passes through the intersection pointM of y=-1/3x+6 and y=x, find the expressions of linear function.[Level 5-6] 相关知识点: 试题来源: 解析 y = -(25)/(13)x + (80)/(13) 首先,求解两个已知函数的交点M。将两个函数的...
Function $f(x)=2( \sin x+ \cos x)$Value of $a$ $a=\dfrac{ \pi }{4}$ 3Use a graphing utility to graph the function. Then graph the linear and quadratic approximationsandin the same viewing window. Compare the values of f, P_1, and P_2 and their first derivatives at x=a...
Due to the transportation and storage constraints, the factory can consume up to one hundred units of the raw material A and ninety units of B per day. The mathematical model can be defined like this: The objective function (profit) is defined in condition 1. The manpower constraint follows...