#1
Which of the following is a characteristic of linear functions?
They always pass through the origin.
They can have only one independent variable.
Their graphs are always straight lines.
They have a constant rate of change.
#2
What is the general form of a linear function?
f(x) = ax^2 + bx + c
f(x) = ax + b
f(x) = a/x + b
f(x) = a^x
#3
What is the slope-intercept form of the equation of a line?
y - y1 = m(x - x1)
y = mx + b
y = ax^2 + bx + c
y = a/x + b
#4
What is the y-intercept of the linear function f(x) = 3x + 7?
3
7
0
The function has no y-intercept.
#5
If f(x) = 2x + 3 and g(x) = 3x - 2, what is the value of (f + g)(4)?
#6
Which of the following functions is linear?
f(x) = x^2
f(x) = 2x + 3
f(x) = |x|
f(x) = 1/x
#7
What is the slope of the line represented by the equation y = 3x - 2?
#8
Which of the following is true about the composition of linear functions?
The composition of linear functions is always linear.
The composition of linear functions is never linear.
The composition of linear functions is sometimes linear.
The composition of linear functions is undefined.
#9
What is the point-slope form of the equation of a line?
y - y1 = m(x - x1)
y = mx + b
y = ax^2 + bx + c
y = a/x + b
#10
If a linear function passes through the point (2, 5) and (6, 13), what is its slope?
#11
Which of the following functions is not linear?
f(x) = 4x - 7
f(x) = sqrt(x)
f(x) = -2
f(x) = 2x^3 - 5x^2 + x + 3
#12
For a linear function f(x) = ax + b, what does 'a' represent?
Y-intercept
Slope
Rate of change
Domain
#13
Which of the following is a property of linear functions?
They have a constant rate of change.
They can only have integer coefficients.
Their graphs are always parabolas.
They cannot be represented algebraically.
#14
What is the standard form of a linear equation in two variables?
y = mx + b
ax + by = c
y = a/x + b
y - y1 = m(x - x1)
#15
If a linear function has a slope of 0, what can be said about the function?
It is a constant function.
It is an increasing function.
It is a decreasing function.
It is a quadratic function.