Algebra 1 Function Overview

A line has equation y = mx + b. Which statement best describes m?

• It is the x-intercept location

• It is the y-intercept coordinate

• It is the slope or rate of change

• It is the vertex of the graph

Two lines are perpendicular. If one has slope 2, what must be true of the other line’s slope?

• It equals 2 exactly

• It equals −1/2 exactly

• It equals −2 exactly

• It equals 1/2 exactly

A system of linear equations has no solution. Which graph feature explains this?

• Intersecting lines at one point

• Same line with all points shared

• Horizontal and vertical axes crossing

• Parallel lines with different y-intercepts

For the data set, r = −0.82. What does this indicate about correlation?

• Strong negative linear association

• Weak negative linear association

• Weak positive linear association

• Strong positive linear association

A quadratic function opens downward and has vertex at (3, 5). Which statement is true?

• The axis of symmetry is y = 3

• The zeros must both be positive

• The vertex represents a minimum value

• The vertex represents a maximum value

Which terms all refer to the x-intercepts of a quadratic?

• Zeros, roots, solutions, factors

• Vertex, axis, maximum, minimum

• Slope, rate, change, rise

• Mean, median, mode, range

• Exponential growth with increasing y

• Quadratic growth with symmetry

• Exponential decay with decreasing y

• Linear growth with constant rate

A line crosses the x-axis at x = 4. Which statement is correct?

• The vertex is (4, 0) for any line

• The x-intercept is 4 and y equals 0

• The y-intercept is 4 and x equals 0

• The slope must equal 4 and y is 0

Which equation has infinitely many solutions when paired with 2x + 3 = y on the same axes?

• y = 3x + 2 intersecting once

• y = −(1/2)x + 3 perpendicular

• y = 2x − 5 with same slope

• y = 2x + 3 exactly the same

Which statement best describes the slope in the linear form y = mx + b?

• It represents rate of change per unit x

• It is the y-intercept where x equals zero

• It is the starting value of the function

• It is the solution set to the equation