False.
A function is just a fancy name for a math problem. It could be a straight line or it could be a parabola or even some thing else. The key to knowing what it looks like is the leading coefficient. What is the highest power of x? Is it positive or negative? An x with the power of one will be a straight line at an angle.
The slope of a linear function is the coefficient of the x term. The sign of this number will determine if the line increases as x increases, or decreases as x increases (slopes up or down). The magnitude of the slope determines how steep the line is (how fast it increases).The coefficient of the x2 term in a quadratic function will tell you similar characteristics of the parabola. The sign will tell you if the parabola opens up or down. The magnitude of the coefficient tells you how steeply the graph changes.
"The coefficient of the x^2 term must be positive" is a condition that does not have to be met.
OK, say you have a variable like X. 3X 3 is the variable X's coefficient
no, false
When the coefficient is positive, the line goes up and to the right.
Has a positive gradient (in a y=mx+c graph)
For a straight line graph, if the equation of the graph is written is the slope-intercept form, then the line goes up and to the right when the coefficient of x is positive.
Sloping upward (from bottom left to top right).
Yes, the slope of a line is the coefficient of the x-term in the line.
The line will be going 'uphill' from left to right
True.
The coefficient of the x term gives the gradient of the slope.
slope
Goes down and to the right
goes up and to the left